21 citations · 23 across the 5 of their papers we have counts for
5 papers
Marsden-Weinstein reduction for symplectic connections
P. Baguis, M. Cahen
We propose a reduction procedure for symplectic connections with symmetry. This is applied to coadjoint orbits whose isotropy is reductive.
Homogeneous symplectic manifolds of Poisson-Lie groups
Pierre Baguis
Symplectic manifolds which are homogeneous spaces of Poisson-Lie groups are studied in this paper. We show that these spaces are, under certain assumptions, covering spaces of dres…
Induction of Hamiltonian Poisson actions
P. Baguis
We propose a Poisson-Lie analog of the symplectic induction procedure, using an appropriate Poisson generalization of the reduction of symplectic manifolds with symmetry. Having as…
A construction of symplectic connections through reduction
P. Baguis, M. Cahen
We give an elementary construction of symplectic connections through reduction. This provides an elegant description of a class of symmetric spaces and gives examples of symplectic…
Semidirect products and the Pukanszky condition
P. Baguis
We study the general geometrical structure of the coadjoint orbits of a semidirect product formed by a Lie group and a representation of this group on a vector space. The use of sy…