2 citations · 3 across the 6 of their papers we have counts for
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Foliation-coupling Dirac structures
Izu Vaisman
We extend the notion of "coupling with a foliation" from Poisson to Dirac structures and get the corresponding generalization of the Vorobiev characterization of coupling Poisson s…
Dirac submanifolds of Jacobi manifolds
Izu Vaisman
The notion of a Dirac submanifold of a Poisson manifold was studied by Xu (arXiv:math.SG/0110326). We give an interpretation of Xu's definition in terms of a general notion of tens…
Locally Lagrangian Symplectic and Poisson Manifolds
Izu Vaisman
We discuss symplectic manifolds where, locally, the structure is that encountered in Lagrangian dynamics. Exemples and characteristic properties are given. Then, we refer to the co…
Connections under Symplectic Reduction
Izu Vaisman
In this note we give conditions which ensure the reduction of a symplectic connection in the process of a Marsden-Weinstein reduction and of the reduction of a presymplectic manifo…