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arXiv · 1903.11021

Regularity of limit sets of Anosov representations

Tengren Zhang·Andrew Zimmer
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Abstract

In this paper we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a differentiable submanifold of projective space with Holder continuous derivatives. We also calculate the optimal value of the Holder constant in terms of the eigenvalue data of the Anosov representation.

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Tengren Zhang, Andrew Zimmer. 2024-06-29. Regularity of limit sets of Anosov representations. https://arxiv.org/abs/1903.11021

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