Automorphisms of nondegenerate CR quadrics and Siegel domains. Explicit description

Vladimir V Ežov; Gerd Schmalz

doi:10.1007/bf02922014

Automorphisms of nondegenerate CR quadrics and Siegel domains. Explicit description

Vladimir V Ežov
, Gerd Schmalz

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

7 Citations (Scopus)

Abstract

In this article we give the complete explicit description of the holomorphic automorphisms of any nondegenerate CR-quadric Q of arbitrary CR-dimension and codimension and of Siegel domains of second kind with not necessarily Levi-nondegenerate Šilov-boundary.

We introduce a family of k-dimensional chains (k = codim Q), the analogs of one-dimensional Chern-Moser chains for hyperquadrics.

We also analyze some different types of rigid quadrics.

Original language	English
Pages (from-to)	441-467
Number of pages	27
Journal	Journal of Geometric Analysis
Volume	11
Issue number	3
DOIs	https://doi.org/10.1007/bf02922014
Publication status	Published - Sept 2001
Externally published	Yes

Keywords

Chem-Moser chains
CR-quadrics
Siegel domains

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title = "Automorphisms of nondegenerate CR quadrics and Siegel domains. Explicit description",

abstract = "In this article we give the complete explicit description of the holomorphic automorphisms of any nondegenerate CR-quadric Q of arbitrary CR-dimension and codimension and of Siegel domains of second kind with not necessarily Levi-nondegenerate {\v S}ilov-boundary. We introduce a family of k-dimensional chains (k = codim Q), the analogs of one-dimensional Chern-Moser chains for hyperquadrics. We also analyze some different types of rigid quadrics.",

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year = "2001",

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AU - Ežov, Vladimir V

AU - Schmalz, Gerd

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N2 - In this article we give the complete explicit description of the holomorphic automorphisms of any nondegenerate CR-quadric Q of arbitrary CR-dimension and codimension and of Siegel domains of second kind with not necessarily Levi-nondegenerate Šilov-boundary. We introduce a family of k-dimensional chains (k = codim Q), the analogs of one-dimensional Chern-Moser chains for hyperquadrics. We also analyze some different types of rigid quadrics.

AB - In this article we give the complete explicit description of the holomorphic automorphisms of any nondegenerate CR-quadric Q of arbitrary CR-dimension and codimension and of Siegel domains of second kind with not necessarily Levi-nondegenerate Šilov-boundary. We introduce a family of k-dimensional chains (k = codim Q), the analogs of one-dimensional Chern-Moser chains for hyperquadrics. We also analyze some different types of rigid quadrics.

KW - Chem-Moser chains

KW - CR-quadrics

KW - Siegel domains

UR - https://www.scopus.com/pages/publications/0141570695

U2 - 10.1007/bf02922014

DO - 10.1007/bf02922014

M3 - Article

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SP - 441

EP - 467

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 3

ER -

Automorphisms of nondegenerate CR quadrics and Siegel domains. Explicit description

Abstract

Keywords

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