Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-09-01

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

Included Journals: Scopus、SCIE

Volume: 86

Issue: 3

Page Number: 347-353

ISSN: 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.