A canonical linear Poisson bracket is constructed on the predual bundle of a Banach Lie algebroid, with necessary and sufficient conditions for it to define a Banach Poisson manifold.
[Kar86] Karasev, M.V.Analogues of the objects of Lie group theory for nonlinear Poisson brackets
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Poisson structure on predual of Banach Lie algebroid
A canonical linear Poisson bracket is constructed on the predual bundle of a Banach Lie algebroid, with necessary and sufficient conditions for it to define a Banach Poisson manifold.