论文标题
较高属的紧凑型表面的肉眼流的独特磨牙，没有结合点和连续的绿色束
Unique ergodicity of the horocycle flow of a higher genus compact surface with no conjugate points and continuous Green bundles
论文作者
论文摘要
我们表明，可定向的紧凑型较高属表面的肉眼流，而没有共轭点，并且具有连续的绿色束是独特的。该结果适用于非裂变的非弯曲表面，并概括了负曲率的Furstenberg和Marcus的经典结果。证明依赖于表面条带对商的统一扩展参数化的定义。
We show that the horocyclic flow of an orientable compact higher genus surface without conjugate points and with continuous Green bundles is uniquely ergodic. The result applies to nonflat nonpositively curved surfaces and generalizes a classical result of Furstenberg and Marcus in negative curvature. The proof relies on the definition of a uniformly expanding parametrization on the quotient by the strips of the surface.
