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- W1509766596 abstract "We prove that a topological contact isotopy uniquely defines a topological contact Hamiltonian. Combined with previous results from [MS11], this generalizes the classical one-to-one correspondence between smooth contact isotopies and their generating smooth contact Hamiltonians and conformal factors to the group of topological contact dynamical systems. Applications of this generalized correspondence include C^0-rigidity of smooth contact Hamiltonians, a transformation law for topological contact dynamical systems, and C^0-rigidity of the geodesic flows of Riemannian manifolds." @default.
- W1509766596 created "2016-06-24" @default.
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- W1509766596 date "2013-05-29" @default.
- W1509766596 modified "2023-09-26" @default.
- W1509766596 title "Topological contact dynamics III: uniqueness of the topological Hamiltonian and C^0-rigidity of the geodesic flow" @default.
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