On the smoothness of Levi-foliations
type: Item
instance of: scholarly article
title: On the smoothness of Levi-foliations
zbMATH Open document ID: 0663.32014
DOI: 10.5565/PUBLMAT_32288_05
author: David E. Barrett
author: J. E. Fornæss
published in: Publicacions Matemàtiques
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/41049
review text: Let S be a real hypersurface in \({\mathbb{C}}^ n\) of class \({\mathcal C}^ k\) with vanishing Levi form. The maximal complex subspace is an integral distribution of class \({\mathcal C}^{k-1}\) and real co-dimension 1 so that S admits a foliation of class \({\mathcal C}^{k-1}\) by complex hypersurfaces. The authors show that in fact this unique foliation is of class \({\mathcal C}^ k\).
Mathematics Subject Classification ID: 32V40
zbMATH DE Number: 4084058
zbMATH Keywords: Levi flat
zbMATH Keywords: foliation
reviewed by: Lawrence Gruman
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4084058