Lie algebroid structures on C^∞(M, g) induce Poisson brackets on C^∞(M × g*) that include but strictly exceed the Darboux and Lie-Poisson cases, with computational examples and central extensions studied.
Holm, (2011) Geometric Mechanics Part I and Part II , Second edition, Imperial College Press, London
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On Poisson structures arising from a Lie group action
Lie algebroid structures on C^∞(M, g) induce Poisson brackets on C^∞(M × g*) that include but strictly exceed the Darboux and Lie-Poisson cases, with computational examples and central extensions studied.