Real structures on symmetric spaces

Abstract

We obtain a necessary and sufficient condition for the existence of equivariant real structures on complex symmetric spaces for semisimple groups and discuss how to determine the number of equivalence classes for such structures.

14 pages, final version

References in corpus (3)

• K{ä}hler geometry of horosymmetric varieties, and application to Mabuchi's K-energy functional
• Real structures on horospherical varieties
• Orbits of real semisimple Lie groups on real loci of complex symmetric spaces

Cited by in corpus (1)

• Forms of almost homogeneous varieties over perfect fields