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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
Almost Kenmotsu 3-Manifolds Satisfying Some Generalized Nullity Conditions
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论文类型：期刊论文
发表时间：2018-01-01
发表刊物：FILOMAT
收录刊物：SCIE
卷号：32
期号：1
页面范围：197-206
ISSN号：0354-5180
关键字：Almost Kenmotsu 3-manifold; generalized (kappa, mu)'-nullity condition; symmetry condition
摘要：In this paper, a three-dimensional almost Kenmotsu manifold M-3 satisfying the generalized (kappa, mu)'-nullity condition is investigated. We mainly prove that onM(3) the following statements are equivalent: (1) M-3 is phi-symmetric; (2) the Ricci tensor of M-3 is cyclic-parallel; (3) the Ricci tensor of M-3 is of Codazzi type; (4) M-3 is conformally flat with scalar curvature invariant along the Reeb vector field; (5) M-3 is locally isometric to either the hyperbolic space H-3(-1) or the Riemannian product H-2(-4) x R.