%0 Journal Article
%T Bi-invariant metric on the strict contactomorphism group
%A Tomasz Rybicki
%J Mathematics
%D 2012
%I arXiv
%X A right-invariant metric $\rho_{\alpha}$ on the compactly supported identity component $Cont_0(M,\alpha)$ of the group of contactomorphisms of an arbitrary contact manifold $(M,\alpha)$ is introduced in a similar way that the Hofer metric was defined on the group of Hamiltonian symplectomorphisms of a symplectic manifold. The restriction of $\rho_{\alpha}$ to the subgroup $G(M,\alpha)$ of all strict contactomorphisms in $Cont_0(M,\alpha)$ is bi-invariant.
%U http://arxiv.org/abs/1202.5897v2