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Indexed by:期刊论文

Date of Publication:2016-09-01

Journal:PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES

Included Journals:SCIE、Scopus

Volume:86

Issue:3

Page Number:347-353

ISSN No.:0369-8203

Key Words:Almost Kenmotsu manifold; Generalized nullity distribution; xi-Ricci semisymmetry; Cyclic-parallel Ricci tensor; eta-Parallel Ricci tensor

Abstract:In 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.