Diffeomorphism, periodic KdV and C. Neumann system

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After reviewing few known facts regarding KdV equation as an Euler equation in the coadjoint orbit of the Virasoro-Bott group we are able to establish an interesting connection between the projective vector field, a vector field leaving fixed a given projective connection, and the C. Neumann system using the idea of Knörrer and Moser. We show that certain quadratic function of a projective field satisfies C. Neumann system.

Original languageBritish English
Pages (from-to)1-8
Number of pages8
JournalDifferential Geometry and its Application
Issue number1
StatePublished - Jan 2000


  • Coadjoint representation
  • Diffeomorphism


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