双曲黎曼曲面叶状结构上 Lyapunov 指数的几何刻画
动力系统
2017-10-10 v4 复变函数
几何拓扑
摘要
我们在几何上刻画了相对于定义在双曲黎曼曲面叶状结构上的调和流，任意秩上同调的 Lyapunov 指数。我们的刻画是用沿测地射线的上同调扩张率来表述的。
引用
@article{arxiv.1503.05231,
title = {Geometric characterization of Lyapunov exponents for Riemann surface laminations},
author = {Viet-Anh Nguyen},
journal= {arXiv preprint arXiv:1503.05231},
year = {2017}
}
备注
Dedicated to the memory of Gennadi M. Henkin. To appear in the Henkin volume of the Journal of Geometric Analysis. In this fourth version, the exposition has been thoroughly improved