Biharmonic B-slant helices according to bishop frame in the SL₂(R)
In this paper, we study biharmonic B-slant helices in the SL₂(R). We characterize the biharmonic B-slant helices in terms of their curvature and torsion. Finally, we find out their explicit parametric equations.
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| Format: | Article |
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Sociedade Brasileira de Matemática
2013-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15844 |
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doaj-27e9fea199034737b330aeaa735be8e22020-11-24T22:32:31ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882013-12-01312394510.5269/bspm.v31i2.158447986Biharmonic B-slant helices according to bishop frame in the SL₂(R)Talat Körpınar0Essin Turhan1Fırat University Department of MathematicsFırat University Department of MathematicsIn this paper, we study biharmonic B-slant helices in the SL₂(R). We characterize the biharmonic B-slant helices in terms of their curvature and torsion. Finally, we find out their explicit parametric equations.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15844Biharmonic curveSL₂(R)curvaturetorsion |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Talat Körpınar Essin Turhan |
| spellingShingle |
Talat Körpınar Essin Turhan Biharmonic B-slant helices according to bishop frame in the SL₂(R) Boletim da Sociedade Paranaense de Matemática Biharmonic curve SL₂(R) curvature torsion |
| author_facet |
Talat Körpınar Essin Turhan |
| author_sort |
Talat Körpınar |
| title |
Biharmonic B-slant helices according to bishop frame in the SL₂(R) |
| title_short |
Biharmonic B-slant helices according to bishop frame in the SL₂(R) |
| title_full |
Biharmonic B-slant helices according to bishop frame in the SL₂(R) |
| title_fullStr |
Biharmonic B-slant helices according to bishop frame in the SL₂(R) |
| title_full_unstemmed |
Biharmonic B-slant helices according to bishop frame in the SL₂(R) |
| title_sort |
biharmonic b-slant helices according to bishop frame in the sl₂(r) |
| publisher |
Sociedade Brasileira de Matemática |
| series |
Boletim da Sociedade Paranaense de Matemática |
| issn |
0037-8712 2175-1188 |
| publishDate |
2013-12-01 |
| description |
In this paper, we study biharmonic B-slant helices in the SL₂(R). We characterize the biharmonic B-slant helices in terms of their curvature and torsion. Finally, we find out their explicit parametric equations. |
| topic |
Biharmonic curve SL₂(R) curvature torsion |
| url |
http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15844 |
| work_keys_str_mv |
AT talatkorpınar biharmonicbslanthelicesaccordingtobishopframeinthesl2r AT essinturhan biharmonicbslanthelicesaccordingtobishopframeinthesl2r |
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1725733494304276480 |