Equivalence Invariants for Submanifolds of Homogeneous Spaces

In this paper we will give a general technique for "solving" the equivalenceproblem for submanifolds of homogeneous spaces, following the procedureworked out in [5] for one-dimensional submanifolds. Since this involves amodernized version of Cartan´s "m6thode du r6p~re mobile" [2], we will firstbriefly survey the general problems concerning the differential ge..