Teichmüller 测地线上短曲线的刻画
几何拓扑
2014-11-11 v3
摘要
我们给出一个组合条件来刻画沿 Teichmüller 测地线为短的曲线。该条件与 Minsky 给出的双曲三维流形中短曲线的条件密切相关。我们证明，同胚于 S x R 的双曲流形中的短曲线在相应的 Teichmüller 测地线上也为短，并给出例子说明反之不成立。
引用
@article{arxiv.math/0404227,
title = {A characterization of short curves of a Teichmueller geodesic},
author = {Kasra Rafi},
journal= {arXiv preprint arXiv:math/0404227},
year = {2014}
}
备注
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper5.abs.html