刘西民

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

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Uniqueness of complete spacelike hypersurfaces in generalized Robertson-Walker spacetimes

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论文类型:期刊论文

发表时间:2015-01-01

发表刊物:Balkan Journal of Geometry and its Applications

收录刊物:Scopus

卷号:20

期号:1

页面范围:38-48

ISSN号:12242780

摘要:In this paper we study the uniqueness of complete noncompact spacelike hypersurfaces immersed in generalized Robertson-Walker (GRW) spacetimes. According to a suitable restriction on the higher order mean curvature and the norm of the gradient of the height function of the hypersurface, we obtain some rigidity theorems in GRW spacetimes. Besides, we establish nonparametric results on the entire vertical graph in such ambient spacetimes. ? Balkan Society of Geometers, Geometry Balkan Press 2015.