77 citations · 321 across the 42 of their papers we have counts for
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math.SG2000★ 3 cited
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…
math.SG2000★ 4 cited
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…
math.DG2000
Foliations with Transversal Quaternionic Structures
Paolo Piccinni, Izu Vaisman
We consider manifolds equipped with a foliation of codimension , and an almost quaternionic structure on the transversal bundle of . After discussing con…