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https://hdl.handle.net/1959.11/3226| Title: | CR-manifolds of Codimension Two of Parabolic Type | Contributor(s): | Schmalz, Gerd (author) ; Ežov, Vladimir Vladimirovitch (author); Spiro, Andrea (author) |
Publication Date: | 2008 | DOI: | 10.1512/iumj.2008.57.3134 | Handle Link: | https://hdl.handle.net/1959.11/3226 | 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. | Publication Type: | Journal Article | Source of Publication: | Indiana University Mathematics Journal, 57(1), p. 309-342 | Publisher: | Indiana University, Department of Mathematics | Place of Publication: | Indiana, United States of America | ISSN: | 1943-5258 0022-2518 1943-5266 |
Fields of Research (FoR) 2008: | 010111 Real and Complex Functions (incl Several Variables) | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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| Appears in Collections: | Journal Article |
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