Symplectic realizations of bihamiltonian structures

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dc.creatorPanasyuk, Andriy
dc.date2000-01-24
dc.date2000-07-10
dc.date.accessioned2026-07-07T04:33:24Z
dc.date.available2026-07-07T04:33:24Z
dc.descriptionA method of constructing a class of bihamiltonian structures is presented. Elements of this class are generalizations of the so-called bihamiltonian structures of general position on odd-dimensional manifolds. The method consists in a simultaneous reduction of both the real and imaginary parts of a complex symplectic form. Necessary and sufficient conditions of getting a bihamiltonian structure from the mentioned class are obtained. The second part of the paper is devoted to a series of examples of such a reduction related to semisimple Lie algebras.
dc.description41p. The revised version presents the main result in a more general form. The paper is essentially reconstructed
dc.identifierhttps://arxiv.org/abs/math/0001126
dc.identifierhttp://arxiv.org/abs/math/0001126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58561
dc.subjectDifferential Geometry
dc.subject58F07, 53A60
dc.titleSymplectic realizations of bihamiltonian structures
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