论文标题
新类的quasigeodesic anosov流向$ 3 $ -Manifolds
New Classes of Quasigeodesic Anosov Flows in $3$-Manifolds
论文作者
论文摘要
流动线的准真实行为是对Anosov流量研究的非常有用的特性。并非每个尺寸中的Anosov流量都是准真实的。实际上，直到轨道等效性，唯一已知的准Anosov流量是悬浮流。在本文中，我们证明了一个新的示例是quasigeodesic。这些是在三个既不是Seifert，也不可解决的，也不是双曲线的歧管上流动的Quasigodesic Anosov流动的第一个例子。通常，很难证明Quasigeodesic中的给定流量，在本文中，我们提供了一种新方法来证明Anosov流是准ode的。
Quasigeodesic behavior of flow lines is a very useful property in the study of Anosov flows. Not every Anosov flow in dimension three is quasigeodesic. In fact up to orbit equivalence, the only previously known examples of quasigeodesic Anosov flows were suspension flows. In this article, we prove that a new class of examples are quasigeodesic. These are the first examples of quasigeodesic Anosov flows on three manifolds that are neither Seifert, nor solvable, nor hyperbolic. In general, it is very hard to show that a given flow in quasigeodesic, and in this article we provide a new method to prove that an Anosov flow is quasigeodesic.
