Anosov representations with Lipschitz limit set
We study Anosov representations whose limit set has intermediate regularity, namely is a Lipschitz submanifold of a flag manifold. We introduce an explicit linear functional, the unstable Jacobian, whose orbit growth rate is integral on this class of representations. We prove that many interesting h...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
14 Jan 2021
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| Ausgabe: | Version v3 |
| In: |
Arxiv
Year: 2021, Pages: 1-44 |
| DOI: | 10.48550/arXiv.1910.06627 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.48550/arXiv.1910.06627 Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1910.06627 
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| Verfasserangaben: | Beatrice Pozzetti, Andrés Sambarino, and Anna Wienhard |
| Zusammenfassung: | We study Anosov representations whose limit set has intermediate regularity, namely is a Lipschitz submanifold of a flag manifold. We introduce an explicit linear functional, the unstable Jacobian, whose orbit growth rate is integral on this class of representations. We prove that many interesting higher rank representations, including $\Theta$-positive representations, belong to this class, and establish several applications to rigidity results on the orbit growth rate in the symmetric space. |
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| Beschreibung: | Online veröffentlicht am 15. Oktober 2019, Version 2 am 4. Dezember 2019, Version 3 am 14. Januar 2021 Gesehen am 10.10.2022 |
| Beschreibung: | Online Resource |
| DOI: | 10.48550/arXiv.1910.06627 |