Limit sets of AdS-quasi-Fuchsian groups of PO(n,2) are always Lipschitz submanifolds. The aim of this article is to show that they are never C¹, except for the case of Fuchsian groups. As a byproduct we show that AdS-quasi-Fuchsian groups that are not Fuchsian are Zariski dense in PO(n,2).
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Glorieux et al. (2024) studied this question.
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