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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：基础数学
联系方式：ximinliu@dlut.edu.cn
电子邮箱：ximinliu@dlut.edu.cn
On Almost Kenmotsu Manifolds Satisfying Some Nullity Distributions
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论文类型：期刊论文
发表时间：2016-09-01
发表刊物：PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
收录刊物：SCIE、Scopus
卷号：86
期号：3
页面范围：347-353
ISSN号：0369-8203
关键字：Almost Kenmotsu manifold; Generalized nullity distribution; xi-Ricci semisymmetry; Cyclic-parallel Ricci tensor; eta-Parallel Ricci tensor
摘要：In this paper, we prove that a (k, mu)'-almost Kenmotsu manifold M2n+1 is xi-Ricci semisymmetric if and only if either it is Einstein or it is locally isometric to the Riemannian product Hn+1(-4) x R-n. Some results on generalized (k, mu) and (k, mu)'-almost Kenmotsu manifolds satisfying some conditions related to the cyclic-parallelism and eta-parallelism of Ricci tensor are also obtained.