Infinitesimal CR-diffeomorphisms of hypersurfaces in \(\mathbb{C}^ 2\) (Q1916579)
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scientific article; zbMATH DE number 898892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitesimal CR-diffeomorphisms of hypersurfaces in \(\mathbb{C}^ 2\) |
scientific article; zbMATH DE number 898892 |
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Infinitesimal CR-diffeomorphisms of hypersurfaces in \(\mathbb{C}^ 2\) (English)
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9 July 1996
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The author considers the tangent maps to CR-diffeomorphisms of real hypersurfaces in \(\mathbb{C}^2\), and he uses the notion of flat normal form to derive a system of differential equations for such maps. The set of the solution of this system is proved to be at most 5-dimensional. Using this result the author obtains a new proof of the result on the continuation of a CR-map of one hypersurface into another to a holomorphic mapping.
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