Journal of Jilin University Science Edition

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The Compact Timelike Submanifolds in the de Sitter Space

HU Youjing1, JI Yongqiang2   

  1. 1. College of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China;2. College of Science, Huzhou Teachers College, Huzhou 313000, Zhejiang Province, China
  • Received:2013-12-05 Online:2014-09-26 Published:2014-09-26
  • Contact: HU Youjing E-mail:hyq@nxu.edu.cn

Abstract:

Based on  the  moving frams, the Ricci identity and the Laplacian about the squared norm of the second fundamental form for the timelike submanifolds in de Sitter space were calculated, and some necessary conditions for the compact maximal timelike submanifold in de Sitter space were given.

Key words: de Sitter space, Ricci identity, timelike, totally geodesic

CLC Number: 

  • O186.12