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Homogeneous Hypersurfaces in ℂ³, Associated with a Model CR-Cubic

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Date

2010

Authors

Beloshapka, V. K.
Kossovskiy, I. G.

Journal Title

Journal ISSN

Volume Title

Publisher

American Mathematical Society

Abstract

The model 4-dimensional CR-cubic in ℂ³ has the following “model” property: it is (essentially) the unique locally homogeneous 4-dimensional CR-manifold in ℂ³ with finite-dimensional infinitesimal automorphism algebra gg and non-trivial isotropy subalgebra. We study and classify, up to local biholomorphic equivalence, all gg-homogeneous hypersurfaces in ℂ³ and also classify the corresponding local transitive actions of the model algebra gg on hypersurfaces in ℂ³.

Description

Keywords

CR-geometry, Homogeneous, CR-manifolds

Citation

URI

http://hdl.handle.net/1885/100227

Collections

ANU Research Publications

Source

Journal of Geometric Analysis

Type

Journal article

Book Title

Entity type

Access Statement

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DOI

10.1007/s12220-010-9117-4

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