长度有界多重曲线的拓扑类型
几何拓扑
2021-09-10 v1 微分几何
摘要
本文讨论双曲曲面上曲线长度的不等式。特别地，我们给出了一个刻画：哪些拓扑类型的曲线和多重曲线总是存在一个代表元，满足在整个模空间上成立的长度不等式。
引用
@article{arxiv.2109.04143,
title = {The topological types of length bounded multicurves},
author = {Hugo Parlier},
journal= {arXiv preprint arXiv:2109.04143},
year = {2021}
}
备注
The final version of this article will appear in the book "Essays in Geometry, dedicated to Norbert A'Campo" (A. Papadopoulos, ed.), European Mathematical Society Press, Berlin, 2022 (to appear)