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Degenerate invariant manifolds of some completely integrable systems (Q1961436)

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scientific article; zbMATH DE number 1389849
Language Label Description Also known as
English
Degenerate invariant manifolds of some completely integrable systems
scientific article; zbMATH DE number 1389849

    Statements

    title
    Degenerate invariant manifolds of some completely integrable systems (English)
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    author
    Christine Médan
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    publication date
    4 March 2001
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    review text
    The author studies the topology of the momentum mapping of completely integrable Hamiltonian systems. It is shown that all regular critical points of the momentum mapping of a Jacobi-Moser-Mumford system are nondegenerate, that is, satisfy the Bott condition. Two examples of Bott systems are considered -- the Lagrange top and the Gel'fand-Dikii systems.
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    zbMATH Keywords
    Jacobi-Moser-Mumford systems
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    Bott systems
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    integrable Hamiltonians
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    Gel'fand-Dikii system
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    Identifiers

    DOI
    10.1007/PL00004777
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    Mathematics Subject Classification ID
    37J35
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    37J15
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    37C25
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    zbMATH DE Number
    1389849
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    OpenAlex ID
    W1967521584
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