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Injectivity radius and Cartan polyhedron for simply connected symmetric spaces. (English) Zbl 1140.53027

Summary: 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.

MSC:

53C35 Differential geometry of symmetric spaces
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References:

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