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.
León Carvajales, Xian Dai, Beatrice Pozzetti, Anna Wienhard (2024). Thurston’s asymmetric metrics for Anosov representations. GROUPS, GEOMETRY, AND DYNAMICS, online first, --- [10.4171/ggd/810].
Thurston’s asymmetric metrics for Anosov representations
Beatrice Pozzetti;
2024
Abstract
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.File in questo prodotto:
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