CHARACTERIZATION OF \mathcal{B}-\mathbf{m}_{2} DEVELOPABLE OF BIHARMONIC \mathcal{B}-SLANT HELICES ACCORDING TO BISHOP FRAMES IN THE SPECIAL 3-DIMENSIONAL KENMOTSU MANIFOLD

Author:

Talat~K\"{O}RPINAR,~Essin~TURHAN

2010 Mathematics Subject Classification:

53C41, 53A10.

Keywords:

biharmonic curve, Bishop frame, developable surface, Kenmotsu manifold.

Abstract:

In this paper, we study \mathcal{B-}\mathbf{m}_{2} developable surfaces of biharmonic \mathcal{B}-slant helices in the special three-dimensional Kenmotsu manifold \mathbb{K} with \eta-parallel ricci tensor. We characterize this surfaces.

Download paper:

Korp-Turh-2012

Vol. 7 (15), 2011