A convexity property for real orbits in complexified Riemannian symmetric spaces

2003/04/14 by Bernhard Kroetz
Mathematics · #math.RT #msc:22Exx

paper · pdf

published as Math. Res. Letters 11 no. 2-3 (2004), 197-211 · 13 pages

arxiv created 2003/04/14 · arxiv updated 2009/11/30

Abstract

A convexity theorem for certain G-orbits in a complexified Riemannian symmetric space G_C/K_C is proved. Applications to analytically continued spherical functions will be given.

Related

• Convexity theorems for semisimple symmetric spaces
• Invariant Stein domains in Stein symmetric spaces and a non-linear complex convexity theorem
• New proofs for some results on spherically convex sets
• Dynamical implications of convexity beyond dynamical convexity
• Characterizations of symmetric convex sets