A geometric proof of the Karpelevich-Mostow's theorem

Details A geometric proof of the Karpelevich-Mostow's theorem A geometric proof of the Karpelevich-Mostow's theorem

2007-02-07

arxiv.org/abs/math/0702201v1

Mathematics

Differential Geometry

Scientific paper

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.

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