点击次数：

论文类型：期刊论文

发表时间：2015-03-01

发表刊物：BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

收录刊物：SCIE、Scopus

卷号：22

期号：1

页面范围：15-24

ISSN号：1370-1444

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

摘要：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.