论文标题
广义的Poincaré-Birkhoff定理
A generalized Poincaré-Birkhoff theorem
论文作者
论文摘要
我们证明了经典的庞加莱（Birkhoff theorem）在任意的维度上对liouville域的概括。这是受到限制的三体问题的空间案例的截面的全球超曲面的启发（正如作者在Arxiv：2011.10386中证明的那样）。
We prove a generalization of the classical Poincaré--Birkhoff theorem for Liouville domains, in arbitrary even dimensions. This is inspired by the existence of global hypersurfaces of section for the spatial case of the restricted three-body problem (as proved by the authors in arXiv:2011.10386).
