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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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
9 November 2023
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| In: |
Geometry & topology
Year: 2023, Volume: 27, Issue: 8, Pages: 3303-3360 |
| ISSN: | 1364-0380 |
| DOI: | 10.2140/gt.2023.27.3303 |
| Online Access: | Resolving-System, kostenfrei, Volltext: https://doi.org/10.2140/gt.2023.27.3303 Verlag, kostenfrei, Volltext: https://msp.org/gt/2023/27-8/p06.xhtml 
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| Author Notes: | Maria Beatrice Pozzetti, Andrés Sambarino, 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 Θ-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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| Item Description: | Gesehen am 10.01.2024 |
| Physical Description: | Online Resource |
| ISSN: | 1364-0380 |
| DOI: | 10.2140/gt.2023.27.3303 |