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

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


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.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Journal of Geometric Analysis
DOI: 10.1007/s12220-010-9117-4


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