Regularity of limit sets of Anosov representations
Differential Geometry
2024-07-02 v3
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.
Keywords
Cite
@article{arxiv.1903.11021,
title = {Regularity of limit sets of Anosov representations},
author = {Tengren Zhang and Andrew Zimmer},
journal= {arXiv preprint arXiv:1903.11021},
year = {2024}
}
Comments
63 pages, 2 figures, accepted for publication by the Journal of Topology