论文标题
双曲线3个manifolds中的非R覆盖的Anosov流是quasigeodesic
Non R-covered Anosov flows in hyperbolic 3-manifolds are quasigeodesic
论文作者
论文摘要
主要结果是，如果未覆盖闭合双曲线三歧管中的Anosov流动，则流量为quasigeodesic流。我们还证明，如果双曲线三个歧管支持Anosov流动，则直至双层盖子，它都会支持quasigeodesic流。我们证明了在封闭的双曲线三歧管中任何Anosov流的稳定和不稳定叶子的连续扩展特性，并且存在与任何此类流动相关的组不变的Peano曲线的存在。
The main result is that if an Anosov flow in a closed hyperbolic three manifold is not R-covered, then the flow is a quasigeodesic flow. We also prove that if a hyperbolic three manifold supports an Anosov flow, then up to a double cover it supports a quasigeodesic flow. We prove the continuous extension property for the stable and unstable foliations of any Anosov flow in a closed hyperbolic three manifold, and the existence of group invariant Peano curves associated with any such flow.
