严格接触同构群上的双不变度量
Bi-invariant metric on the strict contactomorphism group
摘要：
引入了任意切触流形$(M,α)$的接触同构群的紧支撑单位连通区$Cont_0(M,α)$上的右不变度量$ρ_α$，其方法类似于在辛流形的Hamilton辛同构群上定义的Hynth度量. $ρ_α$对$Cont_0(M,α)$中所有严格接触同构的子群$G(M,α)$的限制是双不变的。
英文摘要：
A right-invariant metric $ρ_α$ on the compactly supported identity component $Cont_0(M,α)$ of the group of contactomorphisms of an arbitrary contact manifold $(M,α)$ 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 $ρ_α$ to the subgroup $G(M,α)$ of all strict contactomorphisms in $Cont_0(M,α)$ is bi-invariant.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
