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A geometric proof of the Karpelevich-Mostow's theorem

Antonio J. Di Scala·Carlos Olmos
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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.

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Antonio J. Di Scala, Carlos Olmos. 2007-02-07. A geometric proof of the Karpelevich-Mostow's theorem. https://doi.org/10.1112/blms%2Fbdp036

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