de Sitter空间中类空子流形的刚性定理

数学季刊 ›› 2010, Vol. 25 ›› Issue (3): 360-365.

de Sitter空间中类空子流形的刚性定理

1. School of Science, Kunming University of Science and Technology2. School of Mathematics, Yunnan Normal University

收稿日期:2006-03-27 出版日期:2010-09-30 发布日期:2023-05-24
作者简介: CHEN Wei(1965- ), male(Baizu), native of Kunming, Yunnan, a lecturer of Kunming University of Science and Technology, engages in differential geometry; GUO Zhen(1956- ), male, native of Kunming, Yunnan, a professor of Yunnan Normal University, engages in differential geometry.
基金资助:
Supported by the National Natural Science Foundation of China(10561004)；

Rigidity Theorems of Spacelike Submanifolds in de Sitter Spaces

1. School of Science, Kunming University of Science and Technology2. School of Mathematics, Yunnan Normal University

Received:2006-03-27 Online:2010-09-30 Published:2023-05-24
About author: CHEN Wei(1965- ), male(Baizu), native of Kunming, Yunnan, a lecturer of Kunming University of Science and Technology, engages in differential geometry; GUO Zhen(1956- ), male, native of Kunming, Yunnan, a professor of Yunnan Normal University, engages in differential geometry.
Supported by:
Supported by the National Natural Science Foundation of China(10561004)；

摘要/Abstract

摘要： In this paper, we study the compact spacelike submanifolds in the de Sitter space, under the assumption that the normalized mean curvature vector is parallel in the normal bundle. Using the generalized Cheng-Yau’s differential operator, we obtain some general rigidity theorems which naturally generalize some existing results.

关键词: de Sitter space, spacelike submanifold, scalar curvature, differential operator

Abstract: In this paper, we study the compact spacelike submanifolds in the de Sitter space, under the assumption that the normalized mean curvature vector is parallel in the normal bundle. Using the generalized Cheng-Yau’s differential operator, we obtain some general rigidity theorems which naturally generalize some existing results.

Key words: de Sitter space, spacelike submanifold, scalar curvature, differential operator

中图分类号:

O186.1

陈伟, 郭震. de Sitter空间中类空子流形的刚性定理[J]. 数学季刊, 2010, 25(3): 360-365.

CHEN Wei, GUO Zhen. Rigidity Theorems of Spacelike Submanifolds in de Sitter Spaces[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(3): 360-365.

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