Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-03-01

Journal: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

Included Journals: Scopus、SCIE

Volume: 22

Issue: 1

Page Number: 15-24

ISSN: 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.