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arXiv · 1809.10639

Regularity of limit sets of AdS quasi-Fuchsian groups

Olivier Glorieux·Daniel Monclair
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Abstract

Limit sets of $\mathrm{AdS}$-quasi-Fuchsian groups of $\mathrm{PO}(n,2)$ are always Lipschitz submanifolds. The aim of this article is to show that they are never $\mathcal{C}^1$, except for the case of Fuchsian groups. As a byproduct we show that $\mathrm{AdS}$-quasi-Fuchsian groups that are not Fuchsian are Zariski dense in $\mathrm{PO}(n,2)$.

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Olivier Glorieux, Daniel Monclair. 2018-09-27. Regularity of limit sets of AdS quasi-Fuchsian groups. https://arxiv.org/abs/1809.10639

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