CR-manifolds of Codimension Two of Parabolic Type

Gerd Schmalz; Vladimir Vladimirovitch Ežov; Andrea Spiro

doi:10.1512/iumj.2008.57.3134

CR-manifolds of Codimension Two of Parabolic Type

Gerd Schmalz, Vladimir Vladimirovitch Ežov, Andrea Spiro

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	309-342
Journal	Indiana University Mathematics Journal
Volume	57
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2008.57.3134
Publication status	Published - 2008

Keywords

Real and Complex Functions (incl Several Variables)

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10.1512/iumj.2008.57.3134

https://hdl.handle.net/1959.11/3226

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title = "CR-manifolds of Codimension Two of Parabolic Type",

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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author = "Gerd Schmalz and E{\v z}ov, \{Vladimir Vladimirovitch\} and Andrea Spiro",

year = "2008",

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AU - Ežov, Vladimir Vladimirovitch

AU - Spiro, Andrea

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N2 - 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.

AB - 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.

KW - Real and Complex Functions (incl Several Variables)

UR - https://www.scopus.com/pages/publications/42549135480

U2 - 10.1512/iumj.2008.57.3134

DO - 10.1512/iumj.2008.57.3134

M3 - Article

SN - 1943-5266

VL - 57

SP - 309

EP - 342

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 1

ER -

CR-manifolds of Codimension Two of Parabolic Type

Abstract

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