CR Manifolds Admitting a CR Contraction
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SCOPUS
- Title
- CR Manifolds Admitting a CR Contraction
- Authors
- Kim, KT; Yoccoz, JC
- Date Issued
- 2011-04
- Publisher
- SPRINGER
- Abstract
- We classify the germs of C(infinity) CR manifolds that admit a smooth CR contraction. We show that such a CR manifold is embedded into C(n) as a real hypersurface defined by a polynomial defining function consisting of monomials whose degrees are completely determined by the extended resonances of the contraction. Furthermore, the contraction map extends to a holomorphic contraction that coincides with its polynomial normal form. Consequently, several results concerning complex and CR geometry are derived.
- Keywords
- CR manifold; CR contraction; Embedding; LOCAL AUTOMORPHISMS; REAL HYPERSURFACES; EXTENSION
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/24982
- DOI
- 10.1007/S12220-010-9166-8
- ISSN
- 1050-6926
- Article Type
- Article
- Citation
- JOURNAL OF GEOMETRIC ANALYSIS, vol. 21, no. 2, page. 476 - 493, 2011-04
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