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arXiv · 1805.01489

Spectral spread and non-autonomous Hamiltonian diffeomorphisms

Yoshihiro Sugimoto
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Abstract

For any symplectic manifold, Hamiltonian diffeomorphism group contains a subset which consists of times one flows of autonomous(time-independent) Hamiltonian vector fields. Polterovich and Shelukhin proved that the complement of autonomous Hamiltonian diffeomorphisms is dense in C^/infty-topology and Hofer's metric if the symplectic manifold is closed symplectically aspherical. In this paper, we generalize above theorem to general closed symplectic manifolds and general convex symplectic manifolds.

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Yoshihiro Sugimoto. 2018-05-03. Spectral spread and non-autonomous Hamiltonian diffeomorphisms. https://doi.org/10.1007/s00229-018-1078-0

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