Document Type
Article
Publication Date
3-2016
Publication Title
Journal of Symplectic Geometry
DOI
10.4310/JSG.2016.v14.n1.a1
ISSN
1527-5256
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 C0 -rigidity of smooth contact Hamiltonians, a transformation law for topological contact dynamical systems, and C0 -rigidity of the geodesic flows of Riemannian manifolds.
Recommended Citation
Müller, Stefan, Peter Spaeth.
2016.
"Topological Contact Dynamics III: Uniqueness of the Topological Hamiltonian and C0-Rigidity of the Geodesic Flow."
Journal of Symplectic Geometry, 14 (1): 1-29.
doi: 10.4310/JSG.2016.v14.n1.a1
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/353
Comments
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