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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
A NOTE ON BERNSTEIN-TYPE RESULTS OF SPACELIKE HYPERSURFACES IN SEMI-RIEMANNIAN WARPED PRODUCTS
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论文类型：期刊论文
发表时间：2015-01-01
发表刊物：UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
收录刊物：SCIE、EI、Scopus
卷号：77
期号：3
页面范围：59-68
ISSN号：1223-7027
关键字：Bernstein-type theorem; complete spacelike hypersurface; semi-Riemannian warped product; mean curvature
摘要：In this. paper, making use of the well known generalized maximum principal according to Omori-Yau [20, 24] and considering the Laplacian of the integral of the warping function [4, 22], we prove some new Bernstein-type theorems concerning complete spacelike hypersurfaces immersed in semi-Riemannian warped products. Our main theorems extend the corresponding results proved by de Lima [13] and Aquino-de Lima [10].