Locally homogeneous finitely nondegenerate CR-manifolds
نویسنده
چکیده
In several areas of mathematics, homogeneous spaces are fundamental objects as they often serve as models for more general objects: Various examples from differential geometry (Riemannian symmetric spaces, principal bundles) and topology (geometric 3-manifolds), to algebraic and complex geometry (uniformization theorems, flag manifolds) etc. underline the importance of spaces, furnished with a structure, compatible under a transitive group action. In this paper, we investigate homogeneous Cauchy-Riemann manifolds from the local point of view, more precisely, the germs of CR-manifolds which are locally homogeneous under some finitedimensional Lie group.
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