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Pfaff systems with prescibed stability group - MaRDI portal

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Pfaff systems with prescibed stability group (Q1125220)

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scientific article; zbMATH DE number 1374893
Language Label Description Also known as
English
Pfaff systems with prescibed stability group
scientific article; zbMATH DE number 1374893

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    Pfaff systems with prescibed stability group (English)
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    25 January 2001
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    The paper is devoted to the following problem: Given a Lie group \(G\), find a differentiable manifold \(M\), a Pfaff system \(\omega\) on \(M\), and an action of \(G\) on \(M\) by elements of the stability group of \(\omega\). Under the assumption that the action is transitive, the author gives all solutions to the problem. He describes a method to construct Pfaff systems such that the stability group contains a prescribed Lie group acting transitively on \(M\).
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    vector bundle
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    stability group
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    Pfaff systems
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