Complete differential system for the mappings of CR manifolds of nondegenerate Levi forms
type: Item
instance of: scholarly article
title: Complete differential system for the mappings of CR manifolds of nondegenerate Levi forms
zbMATH Open document ID: 0892.32015
author: Chong-Kyu Han
published in: Mathematische Annalen
publication date: 1997-12-10T00:00:00Z
review text: Let \(M\) be a \(C^\omega\) CR manifold of dimension \(2m+1\) with nondegenerate Levi-form and let \(N\) be a \(C^\omega\) real hypersurface in \(C^{n+1}\) with \(n \geq m\). Let \(f:M \to N\) be a CR-mapping. By using the notion of the complete differential system for a CR-mapping, the author gives a sufficient condition for \(f\) to be real analytic. As a corollary the author proves that if \(N\) is a \(C^\omega\) CR manifold with non-degenerate Levi form and \(\varphi\) is a CR-automorphism of \(N\), then \(\varphi\) is determined by its second jet at a point.
Mathematics Subject Classification ID: 32V05
Mathematics Subject Classification ID: 32V99
zbMATH DE Number: 1096008
zbMATH Keywords: CR manifold
zbMATH Keywords: CR-mapping
zbMATH Keywords: complete differential system
reviewed by: Akihiko Morimoto
MaRDI profile type: Publication
full work available at URL: s002080050119
OpenAlex ID: W1970265811
DOI: 10.1007/S002080050119
description: scientific article; zbMATH DE number 1096008