Some properties of Hamiltonian homeomorphisms on aspherical closed surfaces
Contact the author: Please use for correspondence this email.
Submission date: 09. Feb. 2016
MSC-Numbers: 37E30, 37E45, 37J10
Keywords and phrases: Hamiltonian homeomorphisms, Action function, Schwarz's theorem, Aspherical closed surfaces, contractible fixed point
Download full preprint: PDF (327 kB)
In this article, we generalize Schwarz’s theorem to C0-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.