2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74307We investigate a class of actions of real Lie groups on complex spaces. Using moment map techniques we establish the existence of a quotient and a version of Luna's slice theorem as well as a version of the Hilbert-Mumford criterion. A global slice theorem is proved for proper actions. We give new proofs of results of Mostow on decompositions of groups and homogeneous spaces.27 pagesComplex VariablesRepresentation TheorySymplectic Geometry32M05text