Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
13/2016

Some properties of Hamiltonian homeomorphisms on aspherical closed surfaces

Jian Wang

Abstract

In this article, we generalize Schwarz's theorem to $C^0$-case on aspherical closed surfaces and prove that a nontrivial Hamiltonian homeomorphism has no connected contractible fixed points set, thus no connected fixed points set.

Received:
Feb 9, 2016
Published:
Feb 10, 2016
MSC Codes:
37E30, 37E45, 37J10
Keywords:
Hamiltonian homeomorphisms, Action function, Schwarz's theorem, Aspherical closed surfaces, contractible fixed point

Related publications

Preprint
2016 Repository Open Access
Jian Wang

Some properties of Hamiltonian homeomorphisms on closed aspherical surfaces