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On Geodesically Convex Functions on Symmetric Spaces

✍ Scribed by Dmitri Akhiezer

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 269 KB
Volume: 227
Category: Article
ISSN: 0025-584X
DOI: 10.1002/1522-2616(200107)227:1<5::aid-mana5>3.0.co;2-g

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✦ Synopsis

Let (M=G / K) be a simply connected symmetric space of non-positive curvature. We establish a natural 1-1-correspondence between geodesically convex (K)-invariant functions on (M) and convex functions, invariant under the Weyl group, on a Cartan subspace.

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