Poisson Quasi-Nijenhuis Structures with Background
نویسندگان
چکیده
منابع مشابه
ar X iv : 0 80 8 . 41 25 v 1 [ m at h . D G ] 2 9 A ug 2 00 8 Poisson quasi - Nijenhuis structures with background
We define the Poisson quasi-Nijenhuis structures with background on Lie algebroids and we prove that to any generalized complex structure on a Courant algebroid which is the double of a Lie algebroid is associated such a structure. We prove that any Lie algebroid with a Poisson quasi-Nijenhuis structure with background constitutes, with its dual, a quasi-Lie bialgebroid. We also prove that any ...
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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...
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2008
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-008-0272-5