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Turkish Journal of Mathematics

Abstract

We study the class of strict nearly Kenmotsu manifolds and prove that there is no Einstein manifold or locally symmetric or locally $\phi$-symmetric in this class of manifolds. We describe strict nearly Kenmotsu manifolds in low dimensions. Finally, we obtain a relation between the curvature of nearly Kenmotsu manifolds and nearly Kahler manifolds.

DOI

10.3906/mat-1703-11

Keywords

Almost Hermitian manifold, Kahler manifold, Kenmotsu manifold, nearly Kahler manifold, nearly Kenmotsu manifold

First Page

967

Last Page

976

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