CR-manifolds of Codimension Two of Parabolic Type

Title
CR-manifolds of Codimension Two of Parabolic Type
Publication Date
2008
Author(s)
Schmalz, Gerd
( author )
OrcID: https://orcid.org/0000-0002-6141-9329
Email: schmalz@une.edu.au
UNE Id une-id:schmalz
Ežov, Vladimir Vladimirovitch
Spiro, Andrea
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Indiana University, Department of Mathematics
Place of publication
Indiana, United States of America
DOI
10.1512/iumj.2008.57.3134
UNE publication id
une:3313
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.
Link
Citation
Indiana University Mathematics Journal, 57(1), p. 309-342
ISSN
1943-5258
0022-2518
1943-5266
Start page
309
End page
342

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