A Comparison between Hofer's metric and C^1-topology
Symplectic Geometry
2019-05-08 v1
Abstract
Hofer's metric is a bi-invariant metric on Hamiltonian diffeomorphism groups. Our main result shows that the topology induced from Hofer's metric is weaker than C^1-topology if the symplectic manifold is closed.
Keywords
Cite
@article{arxiv.1905.02627,
title = {A Comparison between Hofer's metric and C^1-topology},
author = {Yoshihiro Sugimoto},
journal= {arXiv preprint arXiv:1905.02627},
year = {2019}
}