Title |
CR-manifolds of Codimension Two of Parabolic Type |
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Author(s) |
Ežov, Vladimir Vladimirovitch |
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Publisher |
Indiana University, Department of Mathematics |
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Place of publication |
Indiana, United States of America |
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DOI |
10.1512/iumj.2008.57.3134 |
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Abstract |
For CR-manifolds in ℂ⁴ with the Levi form at the origin of parabolic type we construct an analogue of the Chern-Moser normal form for Levi non-degenerate hypersurfaces. The group of transformations which map a given CR manifold of parabolic type into a normal form is shown to be isomorphic with the isotropy group of the osculating parabolic quadric at the origin. |
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Citation |
Indiana University Mathematics Journal, 57(1), p. 309-342 |
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