Regularity of limit sets of Anosov representations

Regularity of limit sets of Anosov representations

In this paper, we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a Cα$C^{\alpha }$‐submanifold of the real projective space for some α∈(1,2)$\alpha \in (1,2)$. We also calculate the optimal value of α$\alpha$ in terms of the eigenvalue dat...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of topology 2024-09, Vol.17 (3), p.n/a
Hauptverfasser: Zhang, Tengren, Zimmer, Andrew
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a Cα$C^{\alpha }$‐submanifold of the real projective space for some α∈(1,2)$\alpha \in (1,2)$. We also calculate the optimal value of α$\alpha$ in terms of the eigenvalue data of the Anosov representation.
ISSN:1753-8416
1753-8424
DOI:10.1112/topo.12355