Injectivity Radius and Cartan Polyhedron for Simply Connected Symmetric Spaces
Injectivity Radius and Cartan Polyhedron for Simply Connected Symmetric Spaces
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.
基金
Project supported by the National Natural Science Foundation of China(No.10531090).
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