C0-topology of Hamiltonian homeomorphisms on Poisson manifold

Dawei Sun

COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12A) 117-124

College of Science, Henan University of Technology, Lianhua Str. 100, Zhengzhou, China

In this paper, we define the topology of Hamiltonian homeomorphisms on regular Poisson manifold, and prove that Hameo(M) is a topological group and it is a normal subgroup of the Poisson Homeomorphisms, and show that the Hamiltonian homeomorphisms arising from the two norms  coincide on the regular Poisson manifold.