منابع مشابه
New 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...
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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 کاملNormal Forms of Real Hypersurfaces with Nondegenerate Levi Form
We present a proof of the existence and uniqueness theorem of a normalizing biholomorphic mapping to Chern-Moser normal form. The explicit form of the equation of a chain on a real hyperquadric is obtained. There exists a family of normal forms of real hypersurfaces including Chern-Moser normal form. 0. Introduction Let M be an analytic real hypersurface with nondegenerate Levi form in a comple...
متن کاملNormal Forms for Hypersurfaces of Finite Type in C2
We construct normal forms for Levi degenerate hypersurfaces of finite type in C. As one consequence, an explicit solution to the problem of local biholomorphic equivalence is obtained. Another consequence determines the dimension of the stability group of the hypersurface.
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2017
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2017.03.018