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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
Complete spacelike hypersurfaces with positive r-th mean curvature in a semi-Riemannian warped product
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论文类型：期刊论文
发表时间：2015-01-01
发表刊物：ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
收录刊物：SCIE、Scopus
卷号：23
期号：2
页面范围：259-277
ISSN号：1224-1784
关键字：Complete spacelike hypersurface; semi-Riemannian warped product; r-th mean curvature; Bernstein-type theorem
摘要：In this paper, by supposing a natural comparison inequality on the positive r-th mean curvatures of the hypersurface, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces immersed in a semi-Riemannian warped product of constant sectional curvature. Generalizing the above results, under a restriction on the sectional curvature or the Ricci curvature tensor of the fiber of a warped product, we also prove some new rigidity theorems in semi-Riemannian warped products. Our main results extend some recent Bernstein-type theorems proved in [12, 13, 14].