Surfaces Of Biharmonic -Curves According To Sabban Frame In Heisenberg Group Heis

Vol. 1 No. 2

Year : 2012

Issue : Apr-June

Title  : Surfaces Of Biharmonic -Curves According To Sabban Frame In Heisenberg Group Heis 

Author Name  : Talat Körpinar, Essin TURHAN 

Synopsis  : 

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.