On a relative existence problem of invariant contact forms in three dimensions
type: Item
instance of: scholarly article
title: On a relative existence problem of invariant contact forms in three dimensions
zbMATH Open document ID: 0759.53020
author: M. E. Amine Hadjar
publication date: 1993-02-08T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74978
review text: On montre que sur toute variété \(M\) de dimension 3 compact orientable munie d'une action libre de \(\mathbb{S}^ 1\), il existe une forme de contact invariante induisant une 1-forme invariante \(\eta\) donnée sur une surface invariante de \(M\), si et seulement si \(\eta\) et \(d\eta\) ne s'annulent pas simultanément.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 55R10
zbMATH DE Number: 118286
zbMATH Keywords: fibre bundle
zbMATH Keywords: group action
MaRDI profile type: Publication
OpenAlex ID: W2332170148
cites work: Q3997639
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cites work: Contact 3-manifolds twenty years since J. Martinet's work
cites work: Q5621047
cites work: Structures de contact sur les fibrés principaux en cercles de dimension trois
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cites work: Q5618076
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cites work: Symplectic manifolds and their Lagrangian submanifolds
DOI: 10.5802/AIF.1314
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 118286