On ?-Kenmotsu manifolds satisfying certain conditions
On ?-Kenmotsu manifolds satisfying certain conditions
The object of this paper is to study ?-Kenmotsu manifolds which can be derived from almost contact Riemannian manifolds satisfying some certain conditions. We first examine the generalized recurrent ?-Kenmotsu manifolds, and next we give some relations about Ricci semi-symmetric and D-conformal curvature tensors. We show that Ricci semi-symmetric ?-Kenmotsu manifolds are also Einstein manifolds. Furthermore, we prove that the scalar curvature of ?-Kenmotsu manifolds with ?-parallel Ricci tensors is constant. We conclude the paper with an example on ?-Kenmotsu manifolds. © Balkan Society of Geometers, Geometry Balkan Press 2010.
- Afyon Kocatepe Üniversitesi Turkey
- Uludağ University Turkey
Ricci semi symmetric, D-conformal curvature tensor, ?-Kenmotsu manifold, ?-parallel Ricci tensor, Generalized recurrent manifold
Ricci semi symmetric, D-conformal curvature tensor, ?-Kenmotsu manifold, ?-parallel Ricci tensor, Generalized recurrent manifold
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