具有负曲率叶片的叶状结构的调和测度与叶状测地流
动力系统
2019-02-20 v2
摘要
在本文中,我们为切于具有负曲率叶片的叶状结构的测地流定义了一种 Gibbs 测度概念,该测度与特定势函数 H 相关联。我们证明了这些测度与 Garnett 调和测度之间存在规范的双射对应关系。
引用
@article{arxiv.1311.3267,
title = {Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves},
author = {Sébastien Alvarez},
journal= {arXiv preprint arXiv:1311.3267},
year = {2019}
}
备注
Final version, to appear in Ergodic Theory and Dynamical Systems