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Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions

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Indexed by:期刊论文

Date of Publication:2014-01-01

Journal:ANNALES POLONICI MATHEMATICI

Included Journals:SCIE

Volume:112

Issue:1

Page Number:37-46

ISSN No.:0066-2216

Key Words:almost Kenmotsu manifold; xi-Riemannian-semisymmetry; nullity distribution

Abstract:We consider an almost Kenmotsu manifold M2n+1 with the characteristic vector field xi belonging to the (k, mu)'-nullity distribution and h' not equal 0 and we prove that M2n+1 is locally isometric to the Riemannian product of an (n+1)-dimensional manifold of constant sectional curvature -4 and a flat n-dimensional manifold, provided that M2n+1 is xi-Riemannian-semisymmetric. Moreover, if M2n+1 is a xi-Riemannian-semisymmetric almost Kenmotsu manifold such that belongs xi to the (k, mu)-nullity distribution, we prove that M2n+1 is of constant sectional curvature -1.

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