[en] The canonical model of Riemannian geometry with constant curvature tensor components in the tangent space is provided by the symmetric Riemannian spaces, classified by Cartan. In order to obtain a general model of Riemannian geometry, one should assume that the curvature tensor components depend on the points of the manifold, in a way consistent with Bianchi identities. In an analogous way, one can introduce two supergeometries, by considering two types of supersymmetric extensions of symmetric Riemmanian spaces. ''We show in Sec. 2 that one can introduce two different types of supercosets corresponding to Z₄ and Z₂xZ₂ gradings of superalgebra g-tilde. In Sec. 3 we write corresponding decompositions of supersymmetric Cohen-Maurer equations. In Sec. 4 we discuss two types of general supergeometries, Z₄ and Z₂xZ₂ graded supergeometries''