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Indexed by:期刊论文

Date of Publication:2015-02-01

Journal:MEDITERRANEAN JOURNAL OF MATHEMATICS

Included Journals:SCIE

Volume:12

Issue:1

Page Number:159-171

ISSN No.: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.