On Almost Kenmotsu Manifolds Satisfying Some Nullity Distributions

摘要

abstract_textpIn this paper, we prove that a (k, mu)'-almost Kenmotsu manifold M2n+1 is xi-Ricci semisymmetric if and only if either it is Einstein or it is locally isometric to the Riemannian product Hn+1(-4) x R-n. Some results on generalized (k, mu) and (k, mu)'-almost Kenmotsu manifolds satisfying some conditions related to the cyclic-parallelism and eta-parallelism of Ricci tensor are also obtained./p/abstract_text