%0 Journal Article
%T The signature in actions of semisimple Lie groups on pseudo-Riemannian manifolds
%A Jos¨¦ Rosales-Ortega
%J Proyecciones (Antofagasta)
%D 2012
%I Universidad Cat¨®lica del Norte
%X We study the relationship between the signature of a semisimple Lie group and a pseudoRiemannian manifold on wich the group acts topologically transitively and isometrically. We also provide a description of the bi-invariant pseudo-Riemannian metrics on a semisimple Lie Group over R in terms of the complexification of the Lie algebra associated to the group, and then we utilize it to prove a remark of Gromov.
%K semisimple Lie groups
%K bi-invariant metric
%K local freeness
%U http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000100006