منابع مشابه
Linearization of Poisson Brackets
We review the linearization of Poisson brackets and related problems, in the formal, analytic and smooth categories.
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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 ...
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This paper investigates different Poisson structures that have been proposed to give a Hamiltonian formulation to evolution equations issued from fluid mechanics. Our aim is to explore the main brackets which have been proposed and to discuss the difficulties which arise when one tries to give a rigorous meaning to these brackets. Our main interest is in the definition of a valid and usable bra...
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: Journal of Geometry and Physics
سال: 2018
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2018.06.013