INVESTIGADORES
OLMOS Carlos Enrique
artículos
Título:
A Geometric proof of the Karpelevich-Mostow theorem
Autor/es:
DI SCALA, A.J. AND OLMOS, C.
Revista:
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Editorial:
London Mathematical Society
Referencias:
Lugar: Londres; Año: 2009 vol. 41 p. 634 - 638
ISSN:
0024-6093
Resumen:
In this paper we give a geometric proof of 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 the existence of compatible Cartan decompositions. 1.