Totally geodesic submanifolds in compact Riemannian symmetric spaces and their stability

被引：0
作者：
靳全勤
机构：
[1] Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences,Beijing 100080, China
[2] Department of Mathematics,Hebei University,Baoding 071002,China
来源：
Science China Mathematics | 2000年 / 12期
关键词：
compact Riemannian symmetric spaces; totally geodesic submanifolds; involutive automorphisms of a Lie group (or a Lie algebra); stability;
D O I：
暂无
中图分类号：
O152.5 [李群];
学科分类号：
070104 ;
摘要：
In this paper, we determine a large class of totally geodesic submanifolds of a compact Riemannian symmetric space.The stability of these submanifolds in their ambient space is also determined.
引用
收藏
页码：1279 / 1293
页数：15
相关论文
共 5 条
  • [1] Yen,C.Sur les espace symetriques non compacts. Scientia Sinica . 1965
  • [2] Chen Bang-Yen,Nagano,T.Totally geodesic submanifolds of symmetric spaces Ⅱ, Duke Math. J . 1978
  • [3] Sumi,M.On the stablity of minial submanifolds in symmetric spaces, Tsukuba J. Mathematica Journal . 1995
  • [4] Naitoh,H.Compact simple Lie algebras with two involutions and submanifolds of compact symmetric space Ⅰ, Ⅱ, Osaka J. Mathematica Journal . 1993
  • [5] Nagano,T.The involutions of compact symmetric spaces, Tokyo J. Mathematica Journal . 1998
1