Abstract.

TWMS Jour. Pure Appl. Math., V.2, N.2, 2011, pp.247-255BERTRAND MATE OF BIHARMONIC CURVES IN THE SPECIALTHREE-DIMENSIONAL KENMOTSU MANIFOLDKWITHη−PARALLELRICCI TENSORTALAT K ̈ORPINAR1, ESSIN TURHAN1Abstract.In this paper, we study biharmonic curves in the special three-dimensional Ken-motsu manifoldKwithη-parallel Ricci tensor. We characterize the biharmonic curves in termsof their curvature and torsion. Moreover, we construct parametric equations of Bertrand mateof biharmonic curves in the special three-dimensional Kenmotsu manifold K with parallel Ricci tensor.

Keywords:

: biharmonic curve, Kenmotsu manifold, Bertrand mate.