论文标题
轨道等效类的有限覆盖物
Orbital equivalence classes of finite coverings of geodesic flows
论文作者
论文摘要
让$ m $成为一个封闭的3个manifold，承认沿封闭表面的单元切线束的纤维沿纤维的有限盖。我们证明，如果n很奇怪，则在M上只有一个Anosov流到轨道等效性，如果n是均匀的，则有两个轨道等效类别的Anosov流量。
Let $M$ be a closed 3-manifold admitting a finite cover of index n along the fibers over the unit tangent bundle of a closed surface. We prove that if n is odd, there is only one Anosov flow on M up to orbital equivalence, and if n is even, there are two orbital equivalence classes of Anosov flows on M.
