Zero CR-curvature equations for rigid and tube hypersurfaces

A. V. Isaev

doi:10.1080/17476930902759460

Zero CR-curvature equations for rigid and tube hypersurfaces

A. V. Isaev

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

5 Citations (Scopus)

Abstract

In this article we review the Cartan-Tanaka-Chern-Moser theory for Levi non-degenerate CR-hypersurfaces and apply it to the derivation of zero CR-curvature equations for rigid and tube hypersurfaces. These equations characterize rigid and tube hypersurfaces locally CR-equivalent to the corresponding real hyperquadric. Our exposition complements and corrects the author's earlier papers on this subject.

Original language	English
Pages (from-to)	317-344
Number of pages	28
Journal	Complex Variables and Elliptic Equations
Volume	54
Issue number	3-4
DOIs	https://doi.org/10.1080/17476930902759460
Publication status	Published - Mar 2009

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title = "Zero CR-curvature equations for rigid and tube hypersurfaces",

abstract = "In this article we review the Cartan-Tanaka-Chern-Moser theory for Levi non-degenerate CR-hypersurfaces and apply it to the derivation of zero CR-curvature equations for rigid and tube hypersurfaces. These equations characterize rigid and tube hypersurfaces locally CR-equivalent to the corresponding real hyperquadric. Our exposition complements and corrects the author's earlier papers on this subject.",

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PY - 2009/3

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N2 - In this article we review the Cartan-Tanaka-Chern-Moser theory for Levi non-degenerate CR-hypersurfaces and apply it to the derivation of zero CR-curvature equations for rigid and tube hypersurfaces. These equations characterize rigid and tube hypersurfaces locally CR-equivalent to the corresponding real hyperquadric. Our exposition complements and corrects the author's earlier papers on this subject.

AB - In this article we review the Cartan-Tanaka-Chern-Moser theory for Levi non-degenerate CR-hypersurfaces and apply it to the derivation of zero CR-curvature equations for rigid and tube hypersurfaces. These equations characterize rigid and tube hypersurfaces locally CR-equivalent to the corresponding real hyperquadric. Our exposition complements and corrects the author's earlier papers on this subject.

KW - CR-invariants

KW - Rigid hypersurfaces

KW - Tube hypersurfaces

UR - https://www.scopus.com/pages/publications/67849097258

U2 - 10.1080/17476930902759460

DO - 10.1080/17476930902759460

M3 - Article

SN - 1747-6933

VL - 54

SP - 317

EP - 344

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 3-4

ER -

Zero CR-curvature equations for rigid and tube hypersurfaces

Abstract

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