具有非极小末端层状的Weil-Petersson测地线的极限集
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2018-08-02 v2 微分几何
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摘要
本文构造了具有非极小末端层状的Weil-Petersson测地线的例子,这些测地线在Teichmüller空间Thurston紧化中具有一维极限集。
引用
@article{arxiv.1711.01663,
title = {Limit sets of Weil-Petersson geodesics with nonminimal ending laminations},
author = {Jeffrey Brock and Christopher Leininger and Babak Modami and Kasra Rafi},
journal= {arXiv preprint arXiv:1711.01663},
year = {2018}
}
备注
27 pages, 4 figures; the paper was revised, in particular some pictures were added to section 3 to illustrate the construction. Also, Theorem 2.3 about the combinatorial estimate for the hyperbolic length of a curve on a Riemann surface is included. The paper will appear in J. Topol. Anal