On the group of Poisson diffeomorphisms of the torus

Rendiconti di Matematica e delle Sue Applicazioni

T. Rybicki¹ 

[1] Institute of Mathematics W.S.P.;

关键词: torus;    poisson manifold;    hamiltonian diffeomorphism;    perfectness of group;    calabi homomorphism;   

DOI  :  

来源: DOAJ

【 摘 要 】

We consider the group of all Hamiltonian diffeomorphisms of the torus with the standard Poisson structure. We show that this group as well as its universal covering are perfect. Next we extend this result to some subgroup of the group of Hamiltonian diffeomorphisms of IR^n with the standard Poisson structure. The results and their proofs generalize well known theorems of Banyaga for symplectomorphisms.

【 授权许可】

Unknown