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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
14 Jan 2021
|
| Edition: | Version v3 |
| In: |
Arxiv
Year: 2021, Pages: 1-44 |
| DOI: | 10.48550/arXiv.1910.06627 |
| Online Access: | kostenfrei kostenfrei 
|
| Author Notes: | Beatrice Pozzetti, Andrés Sambarino, and Anna Wienhard |
| Summary: | 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. |
|---|---|
| Item Description: | Online veröffentlicht am 15. Oktober 2019, Version 2 am 4. Dezember 2019, Version 3 am 14. Januar 2021 Gesehen am 10.10.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.48550/arXiv.1910.06627 |