Homogeneous nondegenerate hypersurfaces in \(\mathbb{C}^3\) with two-dimensional isotropy groups
type: Item
instance of: scholarly article
title: Homogeneous nondegenerate hypersurfaces in \(\mathbb{C}^3\) with two-dimensional isotropy groups
zbMATH Open document ID: 1042.32017
DOI: 10.1023/A:1015678825587
author: A. V. Loboda
publication date: 2002-01-01T00:00:00Z
review text: The author announces a classification (up to local holomorphic equivalence) of homogeneous nonspherical real hypersurfaces \(M\subset \mathbb{C}^3\) with a 2-dimensional isotropy group \(\Aut_0(M)\) and positive definite Levi form. The methods are those of \textit{S. S. Chern} and \textit{J. K. Moser} [Acta Math. 133, 219--271 (1974; Zbl 0302.32015)] (i.e., local normal forms for the equations of the hypersurfaces at hand). Only a sketchy indication of what the proof might be is given.
reviewed by: Sorin Dragomir
Mathematics Subject Classification ID: 32V40
zbMATH DE Number: 1930653
zbMATH Keywords: homogeneous hypersurface
zbMATH Keywords: normal form
MaRDI profile type: Publication
full work available at URL: a:1015678825587
OpenAlex ID: W2913460720
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1930653