منابع مشابه
Linearization of Poisson Brackets
We review the linearization of Poisson brackets and related problems, in the formal, analytic and smooth categories.
متن کاملIntegrability of Poisson Brackets
We show that various notions of integrability for Poisson brackets are all equivalent, and we give the precise obstructions to integrating Poisson manifolds. We describe the integration as a symplectic quotient, in the spirit of the Poisson sigma-model of Cattaneo and Felder. For regular Poisson manifolds we express the obstructions in terms of variations of symplectic areas. As an application ...
متن کاملCompatible nonlocal Poisson brackets
In the present work, the integrable bi-Hamiltonian hierarchies related to compatible nonlocal Poisson brackets of hydrodynamic type are effectively constructed. For achieving this aim, first of all, the problem on the canonical form of a special type for compatible nonlocal Poisson brackets of hydrodynamic type is solved. The compatible pairs of nonlocal Poisson brackets of hydrodynamic type ha...
متن کاملFamily of Boundary Poisson Brackets
We find a new d-parameter family of ultra-local boundary Poisson brackets that satisfy the Jacobi identity. The two already known cases (hep-th/9305133, hep-th/9806249 and hepth/9901112) of ultra-local boundary Poisson brackets are included in this new continuous family as special cases. PACS number(s): 02.70.Pt, 11.10.Ef.
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2004
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-004-0340-4