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Indexed by:期刊论文

Date of Publication:2015-03-01

Journal:BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

Included Journals:SCIE、Scopus

Volume:22

Issue:1

Page Number:15-24

ISSN No.:1370-1444

Key Words:almost Kenmotsu manifold; (k, mu)'-nullity distribution; harmonic curvature tensor; warped product

Abstract:Let M2n+1 be an almost Kenmotsu manifold with the characteristic vector field belonging to the (k, mu)'-nullity distribution. We prove that the curvature tensor of M2n+1 is harmonic if and only if M2n+1 is locally isometric to either a product space Hn+1(-4) x R-n, or an Einstein warped product C x N-f(2n) of an open interval and a Ricci-flat almost Kahler manifold.