Symplectic leaves of the Gel'fand-Dikii brackets and homotopy classes of nondegenerate curves

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1990 English Publisher:Springer Science and Business Media LLCJournal:Functional Analysis and Its Applications, volume 24, pages 33-40 (issn: 0016-2663, eissn: 1573-8485,

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Authors: Ovsienko, V. Yu.; Khesin, B. A.;

doi: 10.1007/bf01077916

Symplectic leaves of the Gel'fand-Dikii brackets and homotopy classes of nondegenerate curves

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Abstract

The authors prove results such as: the unique continuous invariant of symplectic sheets of the second Gel'fand-Dikij bracket is a monodromy operator and n-degree differential operators generating non-oscillatory equations describe separated symplectic sheets of the same bracket.

Keywords

symplectic sheets, Geometry and quantization, symplectic methods, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Gel'fand-Dikij bracket

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