Finiteness of infinitesimal deformations of CR mappings of CR manifolds of nondegenerate Levi form (Q2785258)
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scientific article; zbMATH DE number 1733451
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finiteness of infinitesimal deformations of CR mappings of CR manifolds of nondegenerate Levi form |
scientific article; zbMATH DE number 1733451 |
Statements
17 November 2002
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CR mapping
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infinitesimal deformation
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0.91123563
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0.9088039
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0.89501977
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0.8906844
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0.89018184
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Finiteness of infinitesimal deformations of CR mappings of CR manifolds of nondegenerate Levi form (English)
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Let \(f:M\to N\) be a CR map between two CR manifolds of hypersurface type and real dimensions \(2m+1\), \(2n+1\), respectively, with \(1\leq m\leq n\). NEWLINENEWLINENEWLINEUnder a generic assumption, the authors construct a complete system of finite order for the infinitesimal deformations of \(f\), showing in particular that the space of infinitesimal CR deformations of \(f\) is a Lie algebra.
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