Ruled Surfaces of Adjoint Curve with the Modified Orthogonal Frame
This paper analyzes several specific ruled surfaces generated by the base curve $\alpha$ and its director curve or the $\alpha$'s adjoint curve $\beta$ and its director curve, where the director curves are frame vectors of the modified orthogonal frame in $E^{3}$. Furthermore, this paper studie...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Naim Çağman
2024-12-01
|
| Series: | Journal of New Theory |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/4357389 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850079822647132160 |
|---|---|
| author | Nural Yüksel Nurdan Oğraş Esra Damar Burçin Saltık Baek |
| author_facet | Nural Yüksel Nurdan Oğraş Esra Damar Burçin Saltık Baek |
| author_sort | Nural Yüksel |
| collection | DOAJ |
| description | This paper analyzes several specific ruled surfaces generated by the base curve $\alpha$ and its director curve or the $\alpha$'s adjoint curve $\beta$ and its director curve, where the director curves are frame vectors of the modified orthogonal frame in $E^{3}$. Furthermore, this paper studies the flat or minimal properties of the surfaces, as well as their asymptotic and geodesic curves. Afterward, it exemplifies the theoretical results herein. Finally, this paper discusses the need for further research. |
| format | Article |
| id | doaj-art-5fdcd5147ec242cba9aca7e76d21ffb9 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-5fdcd5147ec242cba9aca7e76d21ffb92025-08-20T02:45:06ZengNaim ÇağmanJournal of New Theory2149-14022024-12-0149698210.53570/jnt.15832832425Ruled Surfaces of Adjoint Curve with the Modified Orthogonal FrameNural Yüksel0https://orcid.org/0000-0003-3360-5148Nurdan Oğraş1https://orcid.org/0000-0002-5539-4890Esra Damar2https://orcid.org/0000-0002-0743-8545Burçin Saltık Baek3https://orcid.org/0000-0001-5174-6484ERCİYES ÜNİVERSİTESİERCİYES ÜNİVERSİTESİHİTİT ÜNİVERSİTESİERCİYES ÜNİVERSİTESİThis paper analyzes several specific ruled surfaces generated by the base curve $\alpha$ and its director curve or the $\alpha$'s adjoint curve $\beta$ and its director curve, where the director curves are frame vectors of the modified orthogonal frame in $E^{3}$. Furthermore, this paper studies the flat or minimal properties of the surfaces, as well as their asymptotic and geodesic curves. Afterward, it exemplifies the theoretical results herein. Finally, this paper discusses the need for further research.https://dergipark.org.tr/en/download/article-file/4357389modified orthogonal framespecial ruled surfaceadjoint curve |
| spellingShingle | Nural Yüksel Nurdan Oğraş Esra Damar Burçin Saltık Baek Ruled Surfaces of Adjoint Curve with the Modified Orthogonal Frame Journal of New Theory modified orthogonal frame special ruled surface adjoint curve |
| title | Ruled Surfaces of Adjoint Curve with the Modified Orthogonal Frame |
| title_full | Ruled Surfaces of Adjoint Curve with the Modified Orthogonal Frame |
| title_fullStr | Ruled Surfaces of Adjoint Curve with the Modified Orthogonal Frame |
| title_full_unstemmed | Ruled Surfaces of Adjoint Curve with the Modified Orthogonal Frame |
| title_short | Ruled Surfaces of Adjoint Curve with the Modified Orthogonal Frame |
| title_sort | ruled surfaces of adjoint curve with the modified orthogonal frame |
| topic | modified orthogonal frame special ruled surface adjoint curve |
| url | https://dergipark.org.tr/en/download/article-file/4357389 |
| work_keys_str_mv | AT nuralyuksel ruledsurfacesofadjointcurvewiththemodifiedorthogonalframe AT nurdanogras ruledsurfacesofadjointcurvewiththemodifiedorthogonalframe AT esradamar ruledsurfacesofadjointcurvewiththemodifiedorthogonalframe AT burcinsaltıkbaek ruledsurfacesofadjointcurvewiththemodifiedorthogonalframe |