BIHARMONIC S-CURVES ACCORDING TO SABBAN FRAME IN HEISENBERG GROUP Heis³

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 Körpinar, Essin Turhan
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2013-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15761