局部对称Lorentz空间中的具有常数量曲率的完备类空超曲面

数学季刊 ›› 2007, Vol. 22 ›› Issue (2): 266-275.

局部对称Lorentz空间中的具有常数量曲率的完备类空超曲面

1. College of Polytechonology, Xuzhou Normal University 2. Department of Mathematics, Xuzhou Normal University

收稿日期:2005-04-21 出版日期:2007-06-30 发布日期:2023-11-06
作者简介: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.

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

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)；

摘要/Abstract

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 L1 introduced by S Y Cheng and S T Yau [3].

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

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

中图分类号:

O186.12

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.

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.

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