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Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems

✍ Scribed by Kim, Hwa Kil; Pacini, Tommaso; Gangbo, Wilfrid

Publisher
American Mathematical Society
Year
2010
Tongue
English
Leaves
90
Series
Memoirs of the American Mathematical Society no. 993
Category
Library
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✦ Synopsis

Volume 211, number 993 (third of 5 numbers).

✦ Table of Contents

Content: Introduction --
The topology on M and a differential calculus of curves --
The calculus of curves, revisited --
Tangent and cotangent bundles --
Calculus of pseudo differential 1-forms --
A symplectic foliation of M --
The symplectic foliaiton of a Poisson structure --
Appendix A: Review of relevant notions of differential geometry.

✦ Subjects

Differential forms. Hamiltonian systems. Infinite-dimensional manifolds.

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