带边界曲面Teichmueller空间上的长度谱度量和弱度量
On length spectrum metrics and weak metrics on Teichmueller spaces of surfaces with boundary
摘要：
定义并研究了具有边界的拓扑有限型曲面的Teichmueller空间上的度量和弱度量。这些度量和弱度量与简单闭曲线的双曲长度谱和曲面中适当嵌入的弧的双曲长度谱相关。我们比较了Teichmueller空间区域上定义的度量，我们将其称为$\varepsilon_0$ -相对$ε$ -厚部分}，用于$ε>0$和$\varepsilon_0\geq ε>0$。
英文摘要：
We define and study metrics and weak metrics on the Teichmueller space of a surface of topologically finite type with boundary. These metrics and weak metrics are associated to the hyperbolic length spectrum of simple closed curves and of properly embedded arcs in the surface. We give a comparison between the defined metrics on regions of Teichmueller space which we call $\varepsilon_0$-relative $ε$-thick parts} for $ε>0$ and $\varepsilon_0\geq ε>0$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
