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math.DG2003★ 6 cited
Convex functions on symmetric spaces, side lengths of polygons and stability inequalities for weighted configurations at infinity
Misha Kapovich, Bernhard Leeb, John J. Millson
In a symmetric space of noncompact type X = G/K oriented geodesic segments correspond to points in the Euclidean Weyl chamber. We can hence assign vector-valued side-lengths to seg…
math.SG2003
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type
Shrawan Kumar, Bernhard Leeb, John J. Millson
We compute the generalized triangle inequalities explicitly for all rank 3 symmetric spaces. We find that for Sp(6) the corresponding polyhedral cone has 102 facets and 51 edges.