Nearly Kahler and nearly Kenmotsu manifolds

Authors: NIKROOZ HEIDARI, NILOUFAR HOSEEIN POUR KASHANI, BEHZAD NAJAFI

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.

Keywords: Almost Hermitian manifold, Kahler manifold, Kenmotsu manifold, nearly Kahler manifold, nearly Kenmotsu manifold

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