1 F eb 2 00 6 Homogeneous Levi degenerate CR - manifolds in dimension 5
نویسنده
چکیده
Levi nondegenerate real-analytic hypersurfaces M ⊂ are well understood due to the seminal results of Tanaka [17] and Chern-Moser[5], where a complete set of local invariants for M has been defined. At the other extreme are those hypersurfaces which are locally CR-equivalent to a product M ×, (take the real hyperplanes in as a simple example). In-between there is a huge and much less understood class of CR-hypersurfaces which are neither Levi nondegenerate nor locally direct products as above. A convenient description of that class of CR-manifolds can be given in terms of k-nondegeneracy in the sense of [3] with k ≥ 2, see [2] for further details. The (uniformly) 2-nondegenerate real-analytic hypersurfaces are the main focus of this paper.
منابع مشابه
ar X iv : m at h / 06 10 37 5 v 1 [ m at h . C V ] 1 1 O ct 2 00 6 Classification of Levi degenerate homogeneous CR - manifolds in dimension 5
In this paper we present new examples of homogeneous 2-nondegenerate CRmanifolds of dimension 5 and give, up to local CR-equivalence, a full classification of all CR-manifolds of this type.
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