Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (3): 360-365.

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Rigidity Theorems of Spacelike Submanifolds in de Sitter Spaces

  

  1. 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);

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

CLC Number: