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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-09-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221106?viewType=HTML |
| _version_ | 1811258136379523072 |
|---|---|
| author | Yanlin Li Kemal Eren Kebire Hilal Ayvacı Soley Ersoy |
| author_facet | Yanlin Li Kemal Eren Kebire Hilal Ayvacı Soley Ersoy |
| author_sort | Yanlin Li |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T18:08:31Z |
| format | Article |
| id | doaj.art-ca21a6b1b830471aafab61bb40e68a73 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-12T18:08:31Z |
| publishDate | 2022-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ca21a6b1b830471aafab61bb40e68a732022-12-22T03:21:54ZengAIMS PressAIMS Mathematics2473-69882022-09-01711202132022910.3934/math.20221106Simultaneous characterizations of partner ruled surfaces using Flc frameYanlin Li0Kemal Eren1Kebire Hilal Ayvacı 2Soley Ersoy 31. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China2. Department of Mathematics, Faculty of Arts and Sciences, Sakarya University, Sakarya 54050, Turkey3. Department of Mathematics, Faculty of Arts and Sciences, Ordu University, Ordu, Turkey2. Department of Mathematics, Faculty of Arts and Sciences, Sakarya University, Sakarya 54050, TurkeyIn 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.https://www.aimspress.com/article/doi/10.3934/math.20221106?viewType=HTMLflc framepartner ruled surfacegeodesic curveasymptotic curvepolynomial curves |
| spellingShingle | Yanlin Li Kemal Eren Kebire Hilal Ayvacı Soley Ersoy Simultaneous characterizations of partner ruled surfaces using Flc frame AIMS Mathematics flc frame partner ruled surface geodesic curve asymptotic curve polynomial curves |
| title | Simultaneous characterizations of partner ruled surfaces using Flc frame |
| title_full | Simultaneous characterizations of partner ruled surfaces using Flc frame |
| title_fullStr | Simultaneous characterizations of partner ruled surfaces using Flc frame |
| title_full_unstemmed | Simultaneous characterizations of partner ruled surfaces using Flc frame |
| title_short | Simultaneous characterizations of partner ruled surfaces using Flc frame |
| title_sort | simultaneous characterizations of partner ruled surfaces using flc frame |
| topic | flc frame partner ruled surface geodesic curve asymptotic curve polynomial curves |
| url | https://www.aimspress.com/article/doi/10.3934/math.20221106?viewType=HTML |
| work_keys_str_mv | AT yanlinli simultaneouscharacterizationsofpartnerruledsurfacesusingflcframe AT kemaleren simultaneouscharacterizationsofpartnerruledsurfacesusingflcframe AT kebirehilalayvacı simultaneouscharacterizationsofpartnerruledsurfacesusingflcframe AT soleyersoy simultaneouscharacterizationsofpartnerruledsurfacesusingflcframe |