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Injectivity Radius and Cartan Polyhedron for Simply Connected Symmetric Spaces*

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Ling Yang

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  1. Ling Yang
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Correspondence to Ling Yang.

Additional information

* Project supported by the National Natural Science Foundation of China (No. 10531090).

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Yang, L. Injectivity Radius and Cartan Polyhedron for Simply Connected Symmetric Spaces*. Chin. Ann. Math. Ser. B 28, 685–700 (2007). https://doi.org/10.1007/s11401-006-0400-4

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  • DOI: https://doi.org/10.1007/s11401-006-0400-4

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