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arXiv · 1401.1093

Convexity theorems for semisimple symmetric spaces

Dana Balibanu·Erik van den Ban
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Abstract

We prove a remarkable generalization of a convexity theorem for semisimple symmetric spaces G/H established earlier in 1986 by the second named author. The latter result generalized Kostant's non-linear convexity theorem for the Iwasawa decomposition of a real semisimple Lie group. The present generalization involves Iwasawa decompositions related to minimal parabolic subgroups of G of arbitrary type instead of the particular type relative to H considered in 1986.

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Dana Balibanu, Erik van den Ban. 2014-01-06. Convexity theorems for semisimple symmetric spaces. https://arxiv.org/abs/1401.1093

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