二维测度不变投影在测地流下的奇异性
Singularity of projections of 2-dimensional measures invariant under the geodesic flow
摘要：
证明了在任意变负曲率的紧致Riemann曲面上，存在一个测度，它在测地流下是不变的、遍历的，并且它在基流形上的投影是二维的，关于二维勒贝格测度是奇异的.
英文摘要：
We show that on any compact Riemann surface with variable negative curvature there exists a measure which is invariant and ergodic under the geodesic flow and whose projection to the base manifold is 2-dimensional and singular with respect to the 2-dimensional Lebesgue measure.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
