Spectral spread and non-autonomous Hamiltonian diffeomorphisms
Symplectic Geometry
2023-08-15 v2
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.
Cite
@article{arxiv.1805.01489,
title = {Spectral spread and non-autonomous Hamiltonian diffeomorphisms},
author = {Yoshihiro Sugimoto},
journal= {arXiv preprint arXiv:1805.01489},
year = {2023}
}