Homogeneous hypersurfaces in ℂ3, associated with a model CR-cubic

V. K. Beloshapka; I. G. Kossovskiy

doi:10.1007/s12220-010-9117-4

Homogeneous hypersurfaces in ℂ³, associated with a model CR-cubic

V. K. Beloshapka, I. G. Kossovskiy

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

15 Citations (Scopus)

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 g and non-trivial isotropy subalgebra. We study and classify, up to local biholomorphic equivalence, all g-homogeneous hypersurfaces in ℂ³ and also classify the corresponding local transitive actions of the model algebra g on hypersurfaces in ℂ³.

Original language	English
Pages (from-to)	538-564
Number of pages	27
Journal	Journal of Geometric Analysis
Volume	20
Issue number	3
DOIs	https://doi.org/10.1007/s12220-010-9117-4
Publication status	Published - Jul 2010

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AB - 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 g and non-trivial isotropy subalgebra. We study and classify, up to local biholomorphic equivalence, all g-homogeneous hypersurfaces in ℂ3 and also classify the corresponding local transitive actions of the model algebra g on hypersurfaces in ℂ3.

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KW - CR-manifolds

KW - Homogeneous

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JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

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ER -

Homogeneous hypersurfaces in ℂ³, associated with a model CR-cubic

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