Injectivity radius and Cartan polyhedron for simply connected symmetric spaces

Details Injectivity radius and Cartan polyhedron for simply connected symmetric spaces Injectivity radius and Cartan polyhedron for simply connected symmetric spaces

2006-09-22

arxiv.org/abs/math/0609627v1

Mathematics

Differential Geometry

16 pages

Scientific paper

We explore 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 compute injectivity radius and
diameter for every type of irreducible ones.

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