Full Length Research Paper
Abstract
In this paper, we investigate some curvature problems of Kenmotsu manifolds satisfying some certain conditions and we reach some classicifications. We consider
-recurrent
Kenmotsu manifolds and we show that
-recurrent
Kenmotsu manifolds are also
-Einstein manifolds. Next, we study
-Ricci symmetric
Kenmotsu manifolds and we find this manifolds are Einstein manifolds too. In addition, we examine locally
-symmetric
-Kenmotsu manifolds. Later we investigate this type manifold with quasi-conformally curvature tensor and concircular curvature tensor. In addition to these, we construct an example of
Kenmotsu manifolds and we see that this example is a locally
symmetric
Kenmotsu manifold.
Key words: Kenmotsu manifold,
-recurrent,
-Ricci symmetric, locally
-symmetric, concircular curvature tensor, quasi-conformally curvature tensor,
-Einstein manifolds, Einstein manifolds.
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