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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
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On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product
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论文类型：期刊论文
发表时间：2013-01-01
发表刊物：JOURNAL OF APPLIED MATHEMATICS
收录刊物：SCIE、Scopus
卷号：2013
ISSN号：1110-757X
摘要：By applying Omori-Yau maximal principal theory and supposing an appropriate restriction on the norm of gradient of height function, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces with nonpositive constant mean curvature immersed in a semi-Riemannian warped product. Furthermore, some applications of our main theorems for entire vertical graphs in Robertson-Walker spacetime and for hypersurfaces in hyperbolic space are given.