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.
Carvajales, L., Dai, X., Pozzetti, B., Wienhard, A. (2024). Thurston’s asymmetric metrics for Anosov representations. GROUPS, GEOMETRY, AND DYNAMICS, 19(3), 731-796 [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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
10.4171-ggd-810.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale / Version Of Record
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione
879.72 kB
Formato
Adobe PDF
|
879.72 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
