紧致黎曼对称空间的全测地子流形及其稳定性Ⅱ  

TOTALLY GEODESIC SUBMANIFOLDS OF SYMMETRIC SPACES AND THEIR STABILITY II

作　　者：靳全勤[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《数学年刊（A辑）》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.

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.

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 

分 类 号：O186.12[理学—数学]