A simple proof of the Beloshapka theorem on the parametrization of the automorphism group of a CR manifold
type: Item
instance of: scholarly article
title: A simple proof of the Beloshapka theorem on the parametrization of the automorphism group of a CR manifold
zbMATH Open document ID: 0956.32033
DOI: 10.1007/BF02361222
published in: Mathematical Notes
publication date: 1999-03-23T00:00:00Z
review text: The authors give a simpler proof of a theorem of \textit{V. K. Beloshapka} [Math. Notes 47, No. 3, 239-242 (1990); translation from Mat. Zametki 47, No. 3, 17-22 (1990; Zbl 0715.32011)], stating that the automorphisms of a real analytic nondegenerate CR submanifold \(M\) of a complex Euclidean space \(\mathbb C^n\) are completely determined by their first and second derivatives at a point \(0\in M\).
reviewed by: Mauro Nacinovich
Mathematics Subject Classification ID: 32V40
zbMATH DE Number: 1238036
zbMATH Keywords: CR manifold
zbMATH Keywords: CR automorphism
author: Vladimir Ejov
author: Gerd Schmalz
MaRDI profile type: Publication
cites work: Real hypersurfaces in complex manifolds
cites work: Q5538225
description: scientific article; zbMATH DE number 1238036