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

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

The model 4-dimensional CR-cubic in ℂ 3 has the following “model” property: it is (essentially) the unique locally homogeneous 4-dimensional CR-manifold in ℂ 3 with finite-dimensional infinitesimal automorphism algebra and non-trivial isotropy subalgebra. We study and classify, up to local biholomor...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Journal of geometric analysis 2010-07, Vol.20 (3), p.538-564
Hauptverfasser: Beloshapka, V. K., Kossovskiy, I. G.
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The model 4-dimensional CR-cubic in ℂ 3 has the following “model” property: it is (essentially) the unique locally homogeneous 4-dimensional CR-manifold in ℂ 3 with finite-dimensional infinitesimal automorphism algebra and non-trivial isotropy subalgebra. We study and classify, up to local biholomorphic equivalence, all -homogeneous hypersurfaces in ℂ 3 and also classify the corresponding local transitive actions of the model algebra on hypersurfaces in ℂ 3 .
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-010-9117-4