Normal Forms for Non-integrable Cr Structures
نویسندگان
چکیده
1 2 D. ZAITSEV
منابع مشابه
Normal Forms for Nonintegrable Almost Cr Structures
We propose two constructions extending the Chern-Moser normal form to non-integrable Levi-nondegenerate (hypersurface type) almost CR structures. One of them translates the ChernMoser normalization into pure intrinsic setting, whereas the other directly extends the (extrinsic) Chern-Moser normal form by allowing non-CR embeddings that are in some sense “maximally CR”. One of the main difference...
متن کاملNew Normal Forms for Levi-nondegenerate Hypersurfaces
In this paper we construct a large class of new normal forms for Levi-nondegenerate real hypersurfaces in complex spaces. We adopt a general approach illustrating why these normal forms are natural and which role is played by the celebrated Chern-Moser normal form [CM74]. The latter appears in our class as the one with the ”maximum normalization” in the lowest degree. However, there are other n...
متن کاملTwo-wavelet constants for square integrable representations of G/H
In this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. We establish the orthogonality relations fo...
متن کاملReducing almost Lagrangian structures and almost CR geometries to partially integrable structures
This paper demostrates a method for analysing almost CR geometries (H, J), by uniquely defining a partially integrable structure (H,K) from the same data. Thus two almost CR geometries (H,J) and (H ′, J ′) are equivalent if and and only if they generate isomorphic induced partially integrable CR geometries (H,K) and (H ′, K′), and the set of CR morphisms between these spaces contains an element...
متن کاملApproximately Holomorphic Geometry for Projective Cr Manifolds
For compact CR manifolds of hypersurface type which embed in complex projective space, we show for all k large enough the existence of linear systems of O(k), which when restricted to the CR manifold are generic in a suitable sense. In general these systems are constructed using approximately holomorphic geometry, but for strictly C-convex hypersurfaces generic degree one pencils are obtained v...
متن کامل