surfaces according to Sabban frame in the Heisenberg group Heis . 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 Heis . Finally, we find explicit parametric equations of  surfaces according to Sabban Frame.

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S-α Surfaces Of Biharmonic S-Curves According To Sabban Frame In Heisenberg Group Heis3

Talat Körpinar*, Essin TURHAN**
*-** Firat University, Department of Mathematics, Elazig, Turkey.
Periodicity:April - June'2012
DOI : https://doi.org/10.26634/jmat.1.2.1844

Abstract

In this paper, we study  surfaces according to Sabban frame in the Heisenberg group Heis . 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 Heis . Finally, we find explicit parametric equations of  surfaces according to Sabban Frame.

Keywords

Biharmonic curve, Heisenberg group, Sabban frame.

How to Cite this Article?

Körpinar, T., and Turhan, E. (2012). S-? Surfaces Of Biharmonic S-Curves According To Sabban Frame In Heisenberg Group Heis3. i-manager’s Journal on Mathematics, 1(2), 1-6. https://doi.org/10.26634/jmat.1.2.1844

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