Ruled invariants and total classification of non-developable ruled surfaces
Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclide...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Liu, Huili [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2022 |
|---|
| Schlagwörter: |
Structure functions of ruled surface |
|---|
| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Journal of geometry - Springer International Publishing, 1971, 113(2022), 1 vom: 04. März |
|---|---|
| Übergeordnetes Werk: |
volume:113 ; year:2022 ; number:1 ; day:04 ; month:03 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00022-022-00631-9 |
|---|
| Katalog-ID: |
OLC2078178837 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC2078178837 | ||
| 003 | DE-627 | ||
| 005 | 20230506023628.0 | ||
| 007 | tu | ||
| 008 | 221220s2022 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s00022-022-00631-9 |2 doi | |
| 035 | |a (DE-627)OLC2078178837 | ||
| 035 | |a (DE-He213)s00022-022-00631-9-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 510 |q VZ |
| 084 | |a 17,1 |2 ssgn | ||
| 100 | 1 | |a Liu, Huili |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Ruled invariants and total classification of non-developable ruled surfaces |
| 264 | 1 | |c 2022 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 500 | |a © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 | ||
| 520 | |a Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds. | ||
| 650 | 4 | |a Ruled invariant | |
| 650 | 4 | |a Differential invariant | |
| 650 | 4 | |a Structure functions of ruled surface | |
| 650 | 4 | |a Frenet ruled surfaces of curve | |
| 650 | 4 | |a Principal normal ruled surface of curve | |
| 700 | 1 | |a Liu, Yixuan |4 aut | |
| 700 | 1 | |a Jung, Seoung Dal |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of geometry |d Springer International Publishing, 1971 |g 113(2022), 1 vom: 04. März |w (DE-627)129288993 |w (DE-600)120140-2 |w (DE-576)014470527 |x 0047-2468 |7 nnns |
| 773 | 1 | 8 | |g volume:113 |g year:2022 |g number:1 |g day:04 |g month:03 |
| 856 | 4 | 1 | |u https://doi.org/10.1007/s00022-022-00631-9 |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-MAT | ||
| 912 | |a SSG-OPC-MAT | ||
| 912 | |a GBV_ILN_30 | ||
| 912 | |a GBV_ILN_4277 | ||
| 951 | |a AR | ||
| 952 | |d 113 |j 2022 |e 1 |b 04 |c 03 | ||
| author_variant |
h l hl y l yl s d j sd sdj |
|---|---|
| matchkey_str |
article:00472468:2022----::ueivratadoacasfctoonneeo |
| hierarchy_sort_str |
2022 |
| publishDate |
2022 |
| allfields |
10.1007/s00022-022-00631-9 doi (DE-627)OLC2078178837 (DE-He213)s00022-022-00631-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Liu, Huili verfasserin aut Ruled invariants and total classification of non-developable ruled surfaces 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds. Ruled invariant Differential invariant Structure functions of ruled surface Frenet ruled surfaces of curve Principal normal ruled surface of curve Liu, Yixuan aut Jung, Seoung Dal aut Enthalten in Journal of geometry Springer International Publishing, 1971 113(2022), 1 vom: 04. März (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:113 year:2022 number:1 day:04 month:03 https://doi.org/10.1007/s00022-022-00631-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_4277 AR 113 2022 1 04 03 |
| spelling |
10.1007/s00022-022-00631-9 doi (DE-627)OLC2078178837 (DE-He213)s00022-022-00631-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Liu, Huili verfasserin aut Ruled invariants and total classification of non-developable ruled surfaces 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds. Ruled invariant Differential invariant Structure functions of ruled surface Frenet ruled surfaces of curve Principal normal ruled surface of curve Liu, Yixuan aut Jung, Seoung Dal aut Enthalten in Journal of geometry Springer International Publishing, 1971 113(2022), 1 vom: 04. März (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:113 year:2022 number:1 day:04 month:03 https://doi.org/10.1007/s00022-022-00631-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_4277 AR 113 2022 1 04 03 |
| allfields_unstemmed |
10.1007/s00022-022-00631-9 doi (DE-627)OLC2078178837 (DE-He213)s00022-022-00631-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Liu, Huili verfasserin aut Ruled invariants and total classification of non-developable ruled surfaces 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds. Ruled invariant Differential invariant Structure functions of ruled surface Frenet ruled surfaces of curve Principal normal ruled surface of curve Liu, Yixuan aut Jung, Seoung Dal aut Enthalten in Journal of geometry Springer International Publishing, 1971 113(2022), 1 vom: 04. März (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:113 year:2022 number:1 day:04 month:03 https://doi.org/10.1007/s00022-022-00631-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_4277 AR 113 2022 1 04 03 |
| allfieldsGer |
10.1007/s00022-022-00631-9 doi (DE-627)OLC2078178837 (DE-He213)s00022-022-00631-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Liu, Huili verfasserin aut Ruled invariants and total classification of non-developable ruled surfaces 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds. Ruled invariant Differential invariant Structure functions of ruled surface Frenet ruled surfaces of curve Principal normal ruled surface of curve Liu, Yixuan aut Jung, Seoung Dal aut Enthalten in Journal of geometry Springer International Publishing, 1971 113(2022), 1 vom: 04. März (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:113 year:2022 number:1 day:04 month:03 https://doi.org/10.1007/s00022-022-00631-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_4277 AR 113 2022 1 04 03 |
| allfieldsSound |
10.1007/s00022-022-00631-9 doi (DE-627)OLC2078178837 (DE-He213)s00022-022-00631-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Liu, Huili verfasserin aut Ruled invariants and total classification of non-developable ruled surfaces 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds. Ruled invariant Differential invariant Structure functions of ruled surface Frenet ruled surfaces of curve Principal normal ruled surface of curve Liu, Yixuan aut Jung, Seoung Dal aut Enthalten in Journal of geometry Springer International Publishing, 1971 113(2022), 1 vom: 04. März (DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 0047-2468 nnns volume:113 year:2022 number:1 day:04 month:03 https://doi.org/10.1007/s00022-022-00631-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_4277 AR 113 2022 1 04 03 |
| language |
English |
| source |
Enthalten in Journal of geometry 113(2022), 1 vom: 04. März volume:113 year:2022 number:1 day:04 month:03 |
| sourceStr |
Enthalten in Journal of geometry 113(2022), 1 vom: 04. März volume:113 year:2022 number:1 day:04 month:03 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
Ruled invariant Differential invariant Structure functions of ruled surface Frenet ruled surfaces of curve Principal normal ruled surface of curve |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Journal of geometry |
| authorswithroles_txt_mv |
Liu, Huili @@aut@@ Liu, Yixuan @@aut@@ Jung, Seoung Dal @@aut@@ |
| publishDateDaySort_date |
2022-03-04T00:00:00Z |
| hierarchy_top_id |
129288993 |
| dewey-sort |
3510 |
| id |
OLC2078178837 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2078178837</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506023628.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2022 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00022-022-00631-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2078178837</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00022-022-00631-9-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Liu, Huili</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Ruled invariants and total classification of non-developable ruled surfaces</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ruled invariant</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential invariant</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Structure functions of ruled surface</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Frenet ruled surfaces of curve</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Principal normal ruled surface of curve</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liu, Yixuan</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jung, Seoung Dal</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of geometry</subfield><subfield code="d">Springer International Publishing, 1971</subfield><subfield code="g">113(2022), 1 vom: 04. März</subfield><subfield code="w">(DE-627)129288993</subfield><subfield code="w">(DE-600)120140-2</subfield><subfield code="w">(DE-576)014470527</subfield><subfield code="x">0047-2468</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:113</subfield><subfield code="g">year:2022</subfield><subfield code="g">number:1</subfield><subfield code="g">day:04</subfield><subfield code="g">month:03</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00022-022-00631-9</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">113</subfield><subfield code="j">2022</subfield><subfield code="e">1</subfield><subfield code="b">04</subfield><subfield code="c">03</subfield></datafield></record></collection>
|
| author |
Liu, Huili |
| spellingShingle |
Liu, Huili ddc 510 ssgn 17,1 misc Ruled invariant misc Differential invariant misc Structure functions of ruled surface misc Frenet ruled surfaces of curve misc Principal normal ruled surface of curve Ruled invariants and total classification of non-developable ruled surfaces |
| authorStr |
Liu, Huili |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)129288993 |
| format |
Article |
| dewey-ones |
510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut aut aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0047-2468 |
| topic_title |
510 VZ 17,1 ssgn Ruled invariants and total classification of non-developable ruled surfaces Ruled invariant Differential invariant Structure functions of ruled surface Frenet ruled surfaces of curve Principal normal ruled surface of curve |
| topic |
ddc 510 ssgn 17,1 misc Ruled invariant misc Differential invariant misc Structure functions of ruled surface misc Frenet ruled surfaces of curve misc Principal normal ruled surface of curve |
| topic_unstemmed |
ddc 510 ssgn 17,1 misc Ruled invariant misc Differential invariant misc Structure functions of ruled surface misc Frenet ruled surfaces of curve misc Principal normal ruled surface of curve |
| topic_browse |
ddc 510 ssgn 17,1 misc Ruled invariant misc Differential invariant misc Structure functions of ruled surface misc Frenet ruled surfaces of curve misc Principal normal ruled surface of curve |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Journal of geometry |
| hierarchy_parent_id |
129288993 |
| dewey-tens |
510 - Mathematics |
| hierarchy_top_title |
Journal of geometry |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)129288993 (DE-600)120140-2 (DE-576)014470527 |
| title |
Ruled invariants and total classification of non-developable ruled surfaces |
| ctrlnum |
(DE-627)OLC2078178837 (DE-He213)s00022-022-00631-9-p |
| title_full |
Ruled invariants and total classification of non-developable ruled surfaces |
| author_sort |
Liu, Huili |
| journal |
Journal of geometry |
| journalStr |
Journal of geometry |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2022 |
| contenttype_str_mv |
txt |
| author_browse |
Liu, Huili Liu, Yixuan Jung, Seoung Dal |
| container_volume |
113 |
| class |
510 VZ 17,1 ssgn |
| format_se |
Aufsätze |
| author-letter |
Liu, Huili |
| doi_str_mv |
10.1007/s00022-022-00631-9 |
| dewey-full |
510 |
| title_sort |
ruled invariants and total classification of non-developable ruled surfaces |
| title_auth |
Ruled invariants and total classification of non-developable ruled surfaces |
| abstract |
Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
| abstractGer |
Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
| abstract_unstemmed |
Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_4277 |
| container_issue |
1 |
| title_short |
Ruled invariants and total classification of non-developable ruled surfaces |
| url |
https://doi.org/10.1007/s00022-022-00631-9 |
| remote_bool |
false |
| author2 |
Liu, Yixuan Jung, Seoung Dal |
| author2Str |
Liu, Yixuan Jung, Seoung Dal |
| ppnlink |
129288993 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s00022-022-00631-9 |
| up_date |
2024-07-03T19:11:27.713Z |
| _version_ |
1803586253843595264 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2078178837</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506023628.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2022 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00022-022-00631-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2078178837</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00022-022-00631-9-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Liu, Huili</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Ruled invariants and total classification of non-developable ruled surfaces</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. Then for the ruled surfaces in three dimensional Euclidean space we describe their geometric structures and obtain total classifications. Since the ruled surfaces are the simplest foliated submanifolds, our effective and elementary methods can be used to reveal the properties and structures of the Riemannian foliations and foliated submanifolds.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ruled invariant</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential invariant</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Structure functions of ruled surface</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Frenet ruled surfaces of curve</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Principal normal ruled surface of curve</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liu, Yixuan</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jung, Seoung Dal</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of geometry</subfield><subfield code="d">Springer International Publishing, 1971</subfield><subfield code="g">113(2022), 1 vom: 04. März</subfield><subfield code="w">(DE-627)129288993</subfield><subfield code="w">(DE-600)120140-2</subfield><subfield code="w">(DE-576)014470527</subfield><subfield code="x">0047-2468</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:113</subfield><subfield code="g">year:2022</subfield><subfield code="g">number:1</subfield><subfield code="g">day:04</subfield><subfield code="g">month:03</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00022-022-00631-9</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">113</subfield><subfield code="j">2022</subfield><subfield code="e">1</subfield><subfield code="b">04</subfield><subfield code="c">03</subfield></datafield></record></collection>
|
| score |
7.4007425 |