Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions

  • U. C. De Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kol- 700019, West Bengal
  • Dibakar Dey Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kol- 700019, West Bengal
Keywords: almost Kenmotsu manifold, nullity distributions, Einstein manifold, η-Einstein manifold, Riemann curvature tensor, Ricci tensor, Ricci semisymmetry, Ricci pseudosymmetry

Abstract

The object of the present paper is to characterize Ricci pseudosymmetric and Ricci semisymmetric almost Kenmotsu manifolds with (k; μ)-, (k; μ)′-, and generalized (k; μ)-nullity distributions. We also characterize (k; μ)-almost Kenmotsu manifolds satisfying the condition RS = LꜱQ(g; S2).

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Published
2019-08-09
Section
Articles