BERTRAND MATE OF BIHARMONIC CURVES IN THE SPECIAL THREE-DIMENSIONAL KENMOTSU MANIFOLD K WITH ?-PARALLEL RICCI TENSOR

Abstract

In this paper, we study biharmonic curves in the special three-dimensional Kenmotsu manifold K with 77 eta-parallel Ricci tensor. We characterize the biharmonic curves in terms of their curvature and torsion. Moreover, we construct parametric equations of Bertrand mate of biharmonic curves in the special three-dimensional Kenmotsu manifold K with 77 eta-parallel Ricci tensor.