Transverse Morse lemma for powers of volume forms
type: Item
instance of: scholarly article
title: Transverse Morse lemma for powers of volume forms
zbMATH Open document ID: 0812.58002
author: Jean-Pierre Francoise
author: Mohand Smaïli
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 1995-05-16T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73331
review text: The authors study powers of volume forms of the type \(f(x,y)^ \alpha h(x) dx\), where \(f : (\mathbb{R}^{2n},0) \to (\mathbb{R},0)\) is a function germ transversally of Morse type relatively to the foliation \(p : (x,y) \mapsto y\).
Mathematics Subject Classification ID: 58A10
zbMATH DE Number: 590980
zbMATH Keywords: differential forms
zbMATH Keywords: volume forms
zbMATH Keywords: foliation
reviewed by: Alexandru Dimca
MaRDI profile type: Publication
OpenAlex ID: W2321140621
cites work: Le lemme de Morse isochore
cites work: Q3917203
cites work: Band asymptotics in two dimensions
cites work: Q3696183
cites work: Q3135188
cites work: Normal forms of the degrees of a volume form
cites work: Q4092678
cites work: Local classification of volume forms in the presence of a hypersurface
cites work: Sur le lemme de Morse
DOI: 10.5802/AFST.775
description: scientific article; zbMATH DE number 590980