平移曲面层上的非仿射horocycle轨道闭包：新例子
动力系统
2016-02-16 v1 几何拓扑
摘要
我们研究平移曲面层上局部定义的实向量场的具体例子。沿这些向量场积分Veech曲面的SL(2,R)-轨迹，产生有趣的新horocyle不变遍历测度例子。这些测度支撑于闭浸入流形上，其边界以新颖方式逼近层的边界。
引用
@article{arxiv.1602.04443,
title = {Non-affine horocycle orbit closures on strata of translation surfaces: new examples},
author = {Lucien Clavier},
journal= {arXiv preprint arXiv:1602.04443},
year = {2016}
}
备注
48 pages, 27 figures. Presented to the Faculty of the Graduate School of Cornell University in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy