2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210393In a previous paper we have classified the smooth projective symmetric G-varieties with Picard number one (and G semisimple). In this work we give a geometrical description of such varieties. In particular, we determine their group of automorphisms. When this group, Aut(X), acts non-transitively on X, we describe a G-equivariant embedding of the variety X in a homogeneous variety (with respect to a larger group).27 pagesAlgebraic GeometryRepresentation Theory14M17 (Primary), 14J45, 14L30 (Secondary)text