论文标题

瑟斯顿(Anosov)表示的不对称指标

Thurston's asymmetric metrics for Anosov representations

论文作者

Carvajales, León, Dai, Xian, Pozzetti, Beatrice, Wienhard, Anna

论文摘要

我们提供了一个良好的动力框架,可以概括瑟斯顿的非对称度量标准和相关的鳍规范,从teichmüller空间到大量的Anosov表示。在许多情况下,包括Hitchin表示的空间,这给出了(可能是不对称的)Finsler距离。在某些情况下,我们明确计算相关的Finsler Norm。

We provide a good dynamical framework allowing to generalize Thurston's asymmetric metric and the associated Finsler norm from Teichmüller space to large classes of Anosov representations. In many cases, including the space of Hitchin representations, this gives a (possibly asymmetric) Finsler distance. In some cases we explicitly compute the associated Finsler norm.

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