Poisson bivectors on infinite dimensional manifolds
P. W. Michor, P. Rahangdale, (2025).
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Michor, P. W.;
Rahangdale, PrafulLibreCat
Abstract
We show that, on a smoothly paracompact convenient manifold $M$ modeled on a convenient space with the bornological approximation property, the dual map of a Poisson bracket factors as a smooth section of the vector bundle $L_{skew}^2(T^*M,\mathbb R)$.
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Michor P. W., Rahangdale P. Poisson bivectors on infinite dimensional manifolds. Published online 2025.
Michor, P. W., & Rahangdale, P. (2025). Poisson bivectors on infinite dimensional manifolds.
@article{Michor_Rahangdale_2025, title={Poisson bivectors on infinite dimensional manifolds}, author={Michor, P. W. and Rahangdale, Praful}, year={2025} }
Michor, P. W., and Praful Rahangdale. “Poisson Bivectors on Infinite Dimensional Manifolds,” 2025.
P. W. Michor and P. Rahangdale, “Poisson bivectors on infinite dimensional manifolds.” 2025.
Michor, P. W., and Praful Rahangdale. Poisson Bivectors on Infinite Dimensional Manifolds. 2025.
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