Surfaces family with common Smarandache asymptotic curve

In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and deri...
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Gespeichert in:

Autor*in:	Gulnur Saffak Atalay [verfasserIn] Emin Kasap [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch ; Portugiesisch

Erschienen:	2016

Schlagwörter:	Smarandache curve asymptotic curve Frenet frame surface family

Übergeordnetes Werk:	In: Boletim da Sociedade Paranaense de Matemática - Sociedade Brasileira de Matemática, 2010, 34(2016), 1, Seite 9-20
Übergeordnetes Werk:	volume:34 ; year:2016 ; number:1 ; pages:9-20

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.5269/bspm.v34i1.24392

Katalog-ID:	DOAJ037633783

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spelling	10.5269/bspm.v34i1.24392 doi (DE-627)DOAJ037633783 (DE-599)DOAJ595bf170f2b64176933100d58be4a086 DE-627 ger DE-627 rakwb eng por QA1-939 Gulnur Saffak Atalay verfasserin aut Surfaces family with common Smarandache asymptotic curve 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the asymptotic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache curve. Smarandache curve asymptotic curve Frenet frame surface family Mathematics Emin Kasap verfasserin aut In Boletim da Sociedade Paranaense de Matemática Sociedade Brasileira de Matemática, 2010 34(2016), 1, Seite 9-20 (DE-627)594429838 (DE-600)2485245-4 21751188 nnns volume:34 year:2016 number:1 pages:9-20 https://doi.org/10.5269/bspm.v34i1.24392 kostenfrei https://doaj.org/article/595bf170f2b64176933100d58be4a086 kostenfrei http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/24392 kostenfrei https://doaj.org/toc/0037-8712 Journal toc kostenfrei https://doaj.org/toc/2175-1188 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 34 2016 1 9-20
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allfieldsSound	10.5269/bspm.v34i1.24392 doi (DE-627)DOAJ037633783 (DE-599)DOAJ595bf170f2b64176933100d58be4a086 DE-627 ger DE-627 rakwb eng por QA1-939 Gulnur Saffak Atalay verfasserin aut Surfaces family with common Smarandache asymptotic curve 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the asymptotic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache curve. Smarandache curve asymptotic curve Frenet frame surface family Mathematics Emin Kasap verfasserin aut In Boletim da Sociedade Paranaense de Matemática Sociedade Brasileira de Matemática, 2010 34(2016), 1, Seite 9-20 (DE-627)594429838 (DE-600)2485245-4 21751188 nnns volume:34 year:2016 number:1 pages:9-20 https://doi.org/10.5269/bspm.v34i1.24392 kostenfrei https://doaj.org/article/595bf170f2b64176933100d58be4a086 kostenfrei http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/24392 kostenfrei https://doaj.org/toc/0037-8712 Journal toc kostenfrei https://doaj.org/toc/2175-1188 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 34 2016 1 9-20
language	English Portuguese
source	In Boletim da Sociedade Paranaense de Matemática 34(2016), 1, Seite 9-20 volume:34 year:2016 number:1 pages:9-20
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topic_facet	Smarandache curve asymptotic curve Frenet frame surface family Mathematics
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callnumber-first	Q - Science
author	Gulnur Saffak Atalay
spellingShingle	Gulnur Saffak Atalay misc QA1-939 misc Smarandache curve misc asymptotic curve misc Frenet frame misc surface family misc Mathematics Surfaces family with common Smarandache asymptotic curve
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topic_title	QA1-939 Surfaces family with common Smarandache asymptotic curve Smarandache curve asymptotic curve Frenet frame surface family
topic	misc QA1-939 misc Smarandache curve misc asymptotic curve misc Frenet frame misc surface family misc Mathematics
topic_unstemmed	misc QA1-939 misc Smarandache curve misc asymptotic curve misc Frenet frame misc surface family misc Mathematics
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title	Surfaces family with common Smarandache asymptotic curve
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title_full	Surfaces family with common Smarandache asymptotic curve
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title_sort	surfaces family with common smarandache asymptotic curve
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title_auth	Surfaces family with common Smarandache asymptotic curve
abstract	In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the asymptotic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache curve.
abstractGer	In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the asymptotic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache curve.
abstract_unstemmed	In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the asymptotic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache curve.
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title_short	Surfaces family with common Smarandache asymptotic curve
url	https://doi.org/10.5269/bspm.v34i1.24392 https://doaj.org/article/595bf170f2b64176933100d58be4a086 http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/24392 https://doaj.org/toc/0037-8712 https://doaj.org/toc/2175-1188
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