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局部对称Lorentz空间中的具有常数量曲率的完备类空超曲面
引用本文:张士诚,吴报强.局部对称Lorentz空间中的具有常数量曲率的完备类空超曲面[J].数学季刊,2007,22(2):266-275.
作者姓名:张士诚  吴报强
作者单位:College of Polytechonology Xuzhou Normal University,Department of Mathematics Xuzhou Normal University,Xuzhou 221011 China,Xuzhou 221116 China
基金项目:江苏省教育厅自然科学基金
摘    要: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 L_1 introduced by S Y Cheng and S T Yau 3].

关 键 词:局部对称Lorentz空间  常数量曲率  完备类  超曲面  第二基本型
文章编号:1002-0462(2007)02-0266-10
收稿时间:2005-04-21
修稿时间:2005-04-21

Complete Spacelike Hypersurfaces with Constant Scalar Curvature in Locally Symmetric Lorentz Spaces
ZHANG Shi-cheng,WU Bao-qiang.Complete Spacelike Hypersurfaces with Constant Scalar Curvature in Locally Symmetric Lorentz Spaces[J].Chinese Quarterly Journal of Mathematics,2007,22(2):266-275.
Authors:ZHANG Shi-cheng  WU Bao-qiang
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 L_1 introduced by S Y Cheng and S T Yau 3].
Keywords:locally symmetric Lorentz space  constant saclar curvature  space-like hypersurfaces  second fundamental form
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