A geometric proof of the Karpelevich-Mostow's theorem
Differential Geometry
2014-02-26 v1 Dynamical Systems
Abstract
In this paper we give a geometric proof of the Karpelevich's theorem that asserts that a semisimple Lie subgroup of isometries, of a symmetric space of non compact type, has a totally geodesic orbit. In fact, this is equivalent to a well-known result of Mostow about existence of compatible Cartan decompositions.
Keywords
Cite
@article{arxiv.math/0702201,
title = {A geometric proof of the Karpelevich-Mostow's theorem},
author = {Antonio J. Di Scala and Carlos Olmos},
journal= {arXiv preprint arXiv:math/0702201},
year = {2014}
}