A Compact Imbedding of Semisimple Symmetric Spaces

Abstract. A realization of a ε-family of semisimple symmetric spaces {G/Hε} in a compact real analytic manifold X is constructed. The realization X has the following properties: a) The action of G on X is real analytic; b) There exist open G-orbits that are isomorphic to G/Hε for each signature of roots ε; c) The system Mλ of invariant differential equations on G/Hε extends analytically on X and has regular singularities in the weak sense along the boundaries