关于接触同构群的Sandon型度量
On Sandon-type metrics for contactomorphism groups
摘要：
对于某些包含1-周期Reeb流的切触流形，我们构造了切触同构群的泛覆盖上的共轭不变范数。关于这个规范的组承认一个拟等距单态的实数线。构造涉及到接触同构和辛交的偏序。这个范数下降到接触同构群上的共轭不变范数。作为一个对位，我们讨论的条件下，共轭不变的接触态射的范数必然有界。
英文摘要：
For certain contact manifolds admitting a 1-periodic Reeb flow we construct a conjugation-invariant norm on the universal cover of the contactomorphism group. With respect to this norm the group admits a quasi-isometric monomorphism of the real line. The construction involves the partial order on contactomorphisms and symplectic intersections. This norm descends to a conjugation-invariant norm on the contactomorphism group. As a counterpoint, we discuss conditions under which conjugation-invariant norms for contactomorphisms are necessarily bounded.
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。
