伪黎曼流形中的紧致类空子流形

数学季刊 ›› 2004, Vol. 19 ›› Issue (1): 6-15.

伪黎曼流形中的紧致类空子流形

1.Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China; 2.Department of Mathematics, Xuzhou Normal University, Xuzhou 221116,China

收稿日期:2002-12-10 出版日期:2004-03-30 发布日期:2024-03-22
作者简介:SUN He-jun(1976-),male,native of Lianyungang,Jiangsu,a doctor student of Academy of Mathematics and System Sciences,CAS,engages in geometry and several complex variables;WU Bao-qiang(1943-),male,native of Nanjing,Jiangsu,a professor of Xuzhou Normal University,Ph.D.,engages in geometry.
基金资助:
Supported by the NNSF of China(10071080)；

Compact Space-like Submanifolds in Pseudo-Riemann Manifold

1.Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China; 2.Department of Mathematics, Xuzhou Normal University, Xuzhou 221116,China

Received:2002-12-10 Online:2004-03-30 Published:2024-03-22
About author:SUN He-jun(1976-),male,native of Lianyungang,Jiangsu,a doctor student of Academy of Mathematics and System Sciences,CAS,engages in geometry and several complex variables;WU Bao-qiang(1943-),male,native of Nanjing,Jiangsu,a professor of Xuzhou Normal University,Ph.D.,engages in geometry.
Supported by:
Supported by the NNSF of China(10071080)；

摘要/Abstract

摘要： We first establish a integral inequality for compact maximal space-like subman ifolds in pseudo-Riemannian manifolds N_p^n+p. Then, we investigate compact space-like sub manifolds and hupersurfaces with parallel second fundamental form in N_p^n+p and some other ambient spaces. We obtain some distribution theorems for the square norm of the second fundamental form.

关键词: pseudo-Riemannian , manifold;submanifold;hypersurface;parallel , second , fun- damental form;space-like

Abstract: We first establish a integral inequality for compact maximal space-like subman ifolds in pseudo-Riemannian manifolds N_p^n+p. Then, we investigate compact space-like sub manifolds and hupersurfaces with parallel second fundamental form in N_p^n+p and some other ambient spaces. We obtain some distribution theorems for the square norm of the second fundamental form.

Key words: pseudo-Riemannian , manifold;submanifold;hypersurface;parallel , second , fun- damental form;space-like

中图分类号:

O186.16

孙和军, 吴报强. 伪黎曼流形中的紧致类空子流形[J]. 数学季刊, 2004, 19(1): 6-15.

SUN He-jun, WU Bao-qiang. Compact Space-like Submanifolds in Pseudo-Riemann Manifold[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 6-15.

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