Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-02-01

Journal: MEDITERRANEAN JOURNAL OF MATHEMATICS

Included Journals: SCIE

Volume: 12

Issue: 1

Page Number: 159-171

ISSN: 1660-5446

Key Words: Almost Kenmotsu manifold; local symmetry; CR-integrable structure

Abstract: In this paper, it is proved that a locally symmetric almost Kenmotsu manifold of dimension 2n+1, n > 1, with CR-integrable structure is locally isometric to either the hyperbolic space of constant sectional curvature -1, or the Riemannian product of an (n + 1)-dimensional manifold of constant sectional curvature -4 and a flat n-dimensional manifold.