论文标题
Anosov地球上的地面流
Anosov Geodesic Flows on Surfaces
论文作者
论文摘要
本文是P. eberlein论文的主要结果的阐述：“何时是Anosov类型的测地，在歧管$ m $是表面的特殊情况下。我们仔细遵循Eberlein的覆盖范围，在有用时添加了细节，并利用了Dimension第二案例给出的简化。目的是让读者对Anosov Geodesic Flow的重要主题进行更典型的介绍，该主题突出了关键概念和参数，而不必担心对任意维度的概括。
This paper is an exposition of the major results of P. Eberlein's paper, "When is a geodesic flow of Anosov type? I," in the special case when the manifold $M$ is a surface. We follow Eberlein's coverage closely, adding details when helpful, and taking advantage of simplifications given by the dimension two case. The objective is to give readers a more tractable introduction to the important topic of Anosov geodesic flows, which highlights key concepts and arguments without worrying about generalizations to arbitrary dimension.
