论文标题
通过膨胀流建模的地球流：紧凑的表面没有共轭点和连续的绿色束
Geodesic flows modeled by expansive flows: Compact surfaces without conjugate points and continuous Green bundles
论文作者
论文摘要
我们研究没有共轭点的紧凑型表面的大地测量流量和大于连续的绿色束的属。识别每条两条双轴测大地测量学都会在单位切线束上引起等效关系。它的商空间显示出三维紧凑型歧管的结构。该歧管带有一个规范定义的连续流，该流量是膨胀的，具有较时时间的半偶联物，并具有局部产品结构。朝着这些特性证明的重要一步是研究halospherical叶的规律性特性，并表明它们确实与绿色子捆绑符合。作为一种应用，表明大地测量流具有最大熵的独特量度。
We study the geodesic flow of a compact surface without conjugate points and genus greater than one and continuous Green bundles. Identifying each strip of bi-asymptotic geodesics induces an equivalence relation on the unit tangent bundle. Its quotient space is shown to carry the structure of a 3-dimensional compact manifold. This manifold carries a canonically defined continuous flow which is expansive, time-preserving semi-conjugate to the geodesic flow, and has a local product structure. An essential step towards the proof of these properties is to study regularity properties of the horospherical foliations and to show that they are indeed tangent to the Green subbundles. As an application it is shown that the geodesic flow has a unique measure of maximal entropy.
