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论文类型：期刊论文

发表时间：2014-01-01

发表刊物：ANNALES POLONICI MATHEMATICI

收录刊物：SCIE

卷号：112

期号：1

页面范围：37-46

ISSN号：0066-2216

关键字：almost Kenmotsu manifold; xi-Riemannian-semisymmetry; nullity distribution

摘要：We consider an almost Kenmotsu manifold M2n+1 with the characteristic vector field xi belonging to the (k, mu)'-nullity distribution and h' not equal 0 and we prove that M2n+1 is locally isometric to the Riemannian product of an (n+1)-dimensional manifold of constant sectional curvature -4 and a flat n-dimensional manifold, provided that M2n+1 is xi-Riemannian-semisymmetric. Moreover, if M2n+1 is a xi-Riemannian-semisymmetric almost Kenmotsu manifold such that belongs xi to the (k, mu)-nullity distribution, we prove that M2n+1 is of constant sectional curvature -1.