Biharmonic S-curves according to Sabban frame in Heisenberg group Heis³

Biharmonic S-curves according to Sabban frame in Heisenberg group Heis³

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In this paper, we study biharmonic curves accordig to Sabban frame in the Heisenberg group Heis³. We characterize the biharmonic curves in terms of their geodesic curvature and we prove that all of  biharmonic curves are helices in the Heisenberg group Heis³. Finally, we find out their explicit para...

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Bibliographic Details
Main Authors: Talat Körpınar, Essin Turhan
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2013-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Biharmonic curve
Heisenberg group
curvature
torsion
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15761

Internet

http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15761

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