Anosov representations with Lipschitz limit set

Beatrice Pozzetti , Andres Sambarino (1, 2) , Anna Wienhard (3)

1 CNRS - Centre National de la Recherche Scientifique
2 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
3 Universität Heidelberg [Heidelberg] = Heidelberg University

We study Anosov representation for which the image of the boundary map is the graph of a Lipschitz function, and show that the orbit growth rate with respect to an explicit linear function, the unstable Jacobian, is integral. Several applications to the orbit growth rate in the symmetric space are provided.

Domaines: Théorie des groupes [math.GR]; Géométrie différentielle [math.DG]

Beatrice Pozzetti, Andres Sambarino, Anna Wienhard. Anosov representations with Lipschitz limit set. Geometry and Topology, In press. ⟨hal-02391759⟩