Poisson manifolds and the schouten bracket

1988 ◽  
Vol 22 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Yu. M. Vorob'ev ◽  
M. V. Karasev
Keyword(s):  
Poisson Manifolds ◽  
Schouten Bracket

scholarly journals Quasi-Poisson Manifolds

2002 ◽  
Vol 54 (1) ◽  
pp. 3-29 ◽  
Author(s):  
A. Alekseev ◽  
Y. Kosmann-Schwarzbach ◽  
E. Meinrenken
Keyword(s):  
Poisson Manifold ◽  
Inner Product ◽  
Poisson Manifolds ◽  
Moment Maps ◽  
Schouten Bracket ◽  
Invariant Element

AbstractA quasi-Poisson manifold is a G-manifold equipped with an invariant bivector field whose Schouten bracket is the trivector field generated by the invariant element in associated to an invariant inner product. We introduce the concept of the fusion of such manifolds, and we relate the quasi-Poisson manifolds to the previously introduced quasi-Hamiltonian manifolds with group-valued moment maps.

Prequantizable Poisson manifolds and Jacobi structures

1996 ◽  
Vol 29 (19) ◽  
pp. 6313-6324 ◽  
Author(s):  
Domingo Chinea ◽  
Juan C Marrero ◽  
Manuel de León
Keyword(s):  
Poisson Manifolds
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