Injectivity Radius and Cartan Polyhedron for Simply Connected Symmetric Spaces

作     者：Ling YANG 

作者机构：School of Mathematical Sciences Fudan University Shanghai 200433 China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2007年第28卷第6期

页      面：685-700页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Project supported by the National Natural Science Foundation of China(No.10531090) 

主　　题：Cartan polyhedron Restricted root system Orthogonal involutiveLie algebra Dynkin diagram Stake diagram 

摘      要：The author explores the relationship between the cut locus of an arbitrary simply connected and compact Riemannian symmetric space and the Cartan polyhedron of corresponding restricted root system,and computes the injectivity radius and diameter for every type of irreducible ones.