论文标题
接触汉密尔顿系统的不变措施：与接触面包的符号三明治
Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread
论文作者
论文摘要
我们证明，在某些自然条件下，可以在$ c $的开放子集上分为Reeb Dynamics上的Hamiltonian Systems和Codimension $ C $ 1的liouville Dynamics的Reeb Dynamics。此外，我们表明，在某些完整的条件下，可以使用与接触面包的象征性三明治的概念来表征对liouville动力学不变的度量的存在。
We prove that, under some natural conditions, Hamiltonian systems on a contact manifold $C$ can be split into a Reeb dynamics on an open subset of $C$ and a Liouville dynamics on a submanifold of $C$ of codimension 1. For the Reeb dynamics we find an invariant measure. Moreover, we show that, under certain completeness conditions, the existence of an invariant measure for the Liouville dynamics can be characterized using the notion of a symplectic sandwich with contact bread.
