Projective connections, AGD manifold and integrable systems (Q2730408)

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scientific article; zbMATH DE number 1631106
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Projective connections, AGD manifold and integrable systems
scientific article; zbMATH DE number 1631106

    Statements

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    7 August 2001
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    Adler-Gelfand-Dikii space
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    integrable systems
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    projective connection
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    Projective connections, AGD manifold and integrable systems (English)
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    This paper is devoted to the relation between Adler-Gelfand-Dikii space and projective structure on the circle, and its connection to integrable systems. Moreover, the author establishes a connection between the projective vector field, a vector field leaving fixed a given (extended) projective connection, and the C. Neumann system using the idea of Knörrer and Moser. The author shows that a certain quadratic function of a projective field satisfies the C. Neumann system.
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