Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (2): 266-275.

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Complete Spacelike Hypersurfaces with Constant Scalar Curvature in Locally Symmetric Lorentz Spaces 

  


  1. 1. College of Polytechonology, Xuzhou Normal University  2. Department of Mathematics, Xuzhou Normal University 
  • Received:2005-04-21 Online:2007-06-30 Published:2023-11-06
  • About author:ZHANG Shi-cheng(1974-),male,native of Xuzhou,Jiangsu,a lecturer of Xuzhou Normal University,engagoe in geometry;WU Bao-qiang(1943-),male,native of Nanjing,Jiangsu,a professor of Xuzhou Normal University,engages in geometry.
  • Supported by:
     Supported the NSF of the Education Department of Jiangsu Province(04KJD110192);

Abstract: The complete space-like hypersurfaces with constant normal saclar curvature is discussed in a locally symmetric Lorentz space. A classified theorem is obtained by the operator L1 introduced by S Y Cheng and S T Yau [3].

Key words: locally , symmetric Lorentz , space;constant , saclar curvature;space-like hyper-
surfaces;second fundamental form

CLC Number: