منابع مشابه
On the Modular Classes of Poisson-nijenhuis Manifolds
We prove a property of the Poisson-Nijenhuis manifolds which yields new proofs of the bihamiltonian properties of the hierarchy of modular vector fields defined by Damianou and Fernandes.
متن کاملAlgebraic Nijenhuis operators and Kronecker Poisson pencils
This paper is devoted to a method of constructing completely integrable systems based on the micro-local theory of bihamiltonian structures [GZ89, GZ91, Bol91, GZ93, GZ00, Pan00, Zak01]. The main tool are the so-called microKronecker bihamiltonian structures [Zak01], which will be called Kronecker in this paper for short (in [GZ00] the term Kronecker was used for the micro-Kronecker structures ...
متن کاملDirac Structures , Moment Maps and Quasi – Poisson Manifolds Henrique
We extend the correspondence between Poisson maps and actions of symplectic groupoids, which generalizes the one between momentum maps and hamiltonian actions, to the realm of Dirac geometry. As an example, we show how hamiltonian quasi-Poisson manifolds fit into this framework by constructing an “inversion” procedure relating quasi-Poisson bivectors to twisted Dirac structures. Dedicated to Al...
متن کاملDirac structures, moment maps and quasi-Poisson manifolds
We extend the correspondence between Poisson maps and actions of symplectic groupoids, which generalizes the one between momentum maps and hamiltonian actions, to the realm of Dirac geometry. As an example, we show how hamiltonian quasi-Poisson manifolds fit into this framework by constructing an “inversion” procedure relating quasi-Poisson bivectors to twisted Dirac structures. Dedicated to Al...
متن کاملReduction of Poisson Manifolds
Reduction in the category of Poisson manifolds is defined and some basic properties are derived. The context is chosen to include the usual theorems on reduction of symplectic manifolds, as well as results such as the Dirac bracket and the reduction to the Lie-Poisson bracket.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2007
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-006-0168-0