摘要
本文决定了经典的紧致黎曼对称空间的一大批全测地子流形,并确定了它们在其包围空间中的稳定性.
Using the involution theory of Lie groups and the theory of symmetric spaces, the author first determines a large class of totally geodesic submanifolds of the exceptional Riemannian symmetric spaces, and then determine their stability in their ambient spaces.
出处
《数学年刊（A辑）》
CSCD
北大核心
2004年第6期725-734,共10页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10271088)同济大学"振兴计划"资助的项目.
关键词
紧致黎曼对称空间
全测地子流形
李群(李代数)的对合自同构
稳定性
Compact Riemannian symmetric spaces, Totally geodesic subman-ifolds, Involutions of Lie groups (Lie algebras), Stability of a totally geodesic submanifold
