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Ricci semisymmetric almost Kenmotsu manifolds with nullity distributions

Deshmukh Sharief (Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia)
De Uday Chand (Department of Pure Mathematics, University of Calcutta, West Bengal, India)
Zhao Peibiao (Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing, P.R. China)

The object of the present paper is to characterize Ricci semisymmetric almost Kenmotsu manifolds with its characteristic vector field ξ belonging to the (k,μ)'-nullity distribution and (k,μ)-nullity distribution respectively. Finally, an illustrative example is given.

Keywords: Almost Kenmotsu manifolds, nullity distribution, Ricci semisymmetric, Einstein manifold