Simultaneous characterizations of partner ruled surfaces using Flc frame
In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of...
Ausführliche Beschreibung
Autor*in: |
Yanlin Li [verfasserIn] Kemal Eren [verfasserIn] Kebire Hilal Ayvacı [verfasserIn] Soley Ersoy [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
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2022 |
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Übergeordnetes Werk: |
In: AIMS Mathematics - AIMS Press, 2018, 7(2022), 11, Seite 20213-20229 |
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Übergeordnetes Werk: |
volume:7 ; year:2022 ; number:11 ; pages:20213-20229 |
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DOI / URN: |
10.3934/math.20221106 |
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Katalog-ID: |
DOAJ022470034 |
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10.3934/math.20221106 doi (DE-627)DOAJ022470034 (DE-599)DOAJca21a6b1b830471aafab61bb40e68a73 DE-627 ger DE-627 rakwb eng QA1-939 Yanlin Li verfasserin aut Simultaneous characterizations of partner ruled surfaces using Flc frame 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn. flc frame partner ruled surface geodesic curve asymptotic curve polynomial curves Mathematics Kemal Eren verfasserin aut Kebire Hilal Ayvacı verfasserin aut Soley Ersoy verfasserin aut In AIMS Mathematics AIMS Press, 2018 7(2022), 11, Seite 20213-20229 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:7 year:2022 number:11 pages:20213-20229 https://doi.org/10.3934/math.20221106 kostenfrei https://doaj.org/article/ca21a6b1b830471aafab61bb40e68a73 kostenfrei https://www.aimspress.com/article/doi/10.3934/math.20221106?viewType=HTML kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA 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 7 2022 11 20213-20229 |
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10.3934/math.20221106 doi (DE-627)DOAJ022470034 (DE-599)DOAJca21a6b1b830471aafab61bb40e68a73 DE-627 ger DE-627 rakwb eng QA1-939 Yanlin Li verfasserin aut Simultaneous characterizations of partner ruled surfaces using Flc frame 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn. flc frame partner ruled surface geodesic curve asymptotic curve polynomial curves Mathematics Kemal Eren verfasserin aut Kebire Hilal Ayvacı verfasserin aut Soley Ersoy verfasserin aut In AIMS Mathematics AIMS Press, 2018 7(2022), 11, Seite 20213-20229 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:7 year:2022 number:11 pages:20213-20229 https://doi.org/10.3934/math.20221106 kostenfrei https://doaj.org/article/ca21a6b1b830471aafab61bb40e68a73 kostenfrei https://www.aimspress.com/article/doi/10.3934/math.20221106?viewType=HTML kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA 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 7 2022 11 20213-20229 |
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10.3934/math.20221106 doi (DE-627)DOAJ022470034 (DE-599)DOAJca21a6b1b830471aafab61bb40e68a73 DE-627 ger DE-627 rakwb eng QA1-939 Yanlin Li verfasserin aut Simultaneous characterizations of partner ruled surfaces using Flc frame 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn. flc frame partner ruled surface geodesic curve asymptotic curve polynomial curves Mathematics Kemal Eren verfasserin aut Kebire Hilal Ayvacı verfasserin aut Soley Ersoy verfasserin aut In AIMS Mathematics AIMS Press, 2018 7(2022), 11, Seite 20213-20229 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:7 year:2022 number:11 pages:20213-20229 https://doi.org/10.3934/math.20221106 kostenfrei https://doaj.org/article/ca21a6b1b830471aafab61bb40e68a73 kostenfrei https://www.aimspress.com/article/doi/10.3934/math.20221106?viewType=HTML kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA 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 7 2022 11 20213-20229 |
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10.3934/math.20221106 doi (DE-627)DOAJ022470034 (DE-599)DOAJca21a6b1b830471aafab61bb40e68a73 DE-627 ger DE-627 rakwb eng QA1-939 Yanlin Li verfasserin aut Simultaneous characterizations of partner ruled surfaces using Flc frame 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn. flc frame partner ruled surface geodesic curve asymptotic curve polynomial curves Mathematics Kemal Eren verfasserin aut Kebire Hilal Ayvacı verfasserin aut Soley Ersoy verfasserin aut In AIMS Mathematics AIMS Press, 2018 7(2022), 11, Seite 20213-20229 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:7 year:2022 number:11 pages:20213-20229 https://doi.org/10.3934/math.20221106 kostenfrei https://doaj.org/article/ca21a6b1b830471aafab61bb40e68a73 kostenfrei https://www.aimspress.com/article/doi/10.3934/math.20221106?viewType=HTML kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA 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 7 2022 11 20213-20229 |
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In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn. |
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In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn. |
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In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn. |
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score |
7.4010725 |