局部对称空间中极小子流形的一点补充

华东师范大学学报(自然科学版) ›› 2003, Vol. 2003 ›› Issue (4): 5-11.

局部对称空间中极小子流形的一点补充

吕艳;廖蔡生

华东师范大学数学系,上海 200062

收稿日期:2002-06-04 修回日期:2003-09-12 出版日期:2003-12-25 发布日期:2003-12-25

About Minimal Submanifolds of Locally Symmetric Spaces

LV yan;LIAO cai-sheng

Department of mMathematics,East China Normal University,Shanghai 200062,China

Received:2002-06-04 Revised:2003-09-12 Online:2003-12-25 Published:2003-12-25

摘要/Abstract

摘要：

该文研究可定向的局部对称黎曼流形,底到了这类字流形的第二基本形式平方的一个整体Pingching定理.

关键词: 遀寨秹e朻岁嬏浐彁b儻浨坋0 , 遀寨秹e朻岁嬏浐彁b儻浨坋0

Abstract:

In this paper, we dicusses orentable compacted minimal submanifolds in orientable locally symmetric Riemannian manifolds and obtains a global pinching theorem for lenggth of second foundamental form for this manifolds.

Key words: minimal submanifolds, totally geodesic, locally symmetric, minimal submanifolds, totally geodesic

吕艳;廖蔡生. 局部对称空间中极小子流形的一点补充[J]. 华东师范大学学报(自然科学版), 2003, 2003(4): 5-11.

LV yan;LIAO cai-sheng. About Minimal Submanifolds of Locally Symmetric Spaces[J]. Journal of East China Normal University(Natural Sc, 2003, 2003(4): 5-11.