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On a relative existence problem of invariant contact forms in three dimensions - MaRDI portal

On a relative existence problem of invariant contact forms in three dimensions (Q1203391)

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scientific article; zbMATH DE number 118286
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On a relative existence problem of invariant contact forms in three dimensions
scientific article; zbMATH DE number 118286

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    On a relative existence problem of invariant contact forms in three dimensions (English)
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    8 February 1993
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    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.
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    fibre bundle
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    group action
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