CR Mappings of Circular CR Manifolds
Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 396-407
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Let M be a circular CR manifold and let N be a rigid CR manifold in some complex vector spaces. The problem of the existence of local CR mappings from M into N is considered. Conditions are given which ensure that the space of such CR mappings depends on a finite number of parameters. The idea of the proof of the main result relies on a Bishop type equation for CR mappings. Roughly speaking, we look for CR mappings from M into N in the form F = (ƒ,g), we assume that g is given, then we find ƒ in terms of g and some parameters, and finally we look for conditions on g. It works independently of assumptions on the Levi forms of M and N, and there is also some freedom on the codimension of the manifolds.
Boivin, André. CR Mappings of Circular CR Manifolds. Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 396-407. doi: 10.4153/CMB-1995-058-8
@article{10_4153_CMB_1995_058_8,
author = {Boivin, Andr\'e},
title = {CR {Mappings} of {Circular} {CR} {Manifolds}},
journal = {Canadian mathematical bulletin},
pages = {396--407},
year = {1995},
volume = {38},
number = {4},
doi = {10.4153/CMB-1995-058-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-058-8/}
}
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