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Differential geometry / Hamiltonian mechanics / Smooth manifolds / Symplectic manifold / Differential form / Symplectic vector space / Hamiltonian vector field / Ordinal number / Closed and exact differential forms / Differential topology / Symplectic geometry / Theoretical physics
Date: 2014-04-03 12:20:15
Differential geometry
Hamiltonian mechanics
Smooth manifolds
Symplectic manifold
Differential form
Symplectic vector space
Hamiltonian vector field
Ordinal number
Closed and exact differential forms
Differential topology
Symplectic geometry
Theoretical physics

Liouville’s theorem and Gibbs measures Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 Let M be a symplectic manifold with symplectic form ω. Define ω ] : T M →

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