April 30, 2024Open Access

Bi-Lipschitz rigidity of discrete subgroups

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Abstract

We obtain a bi-Lipschitz rigidity theorem for a Zariski dense discrete subgroup of a connected simple real algebraic group. As an application, we show that any Zariski dense discrete subgroup of a higher rank semisimple algebraic group G cannot have a C¹-smooth antipodal limit set in G/P for any non-maximal parabolic subgroup P.

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Canary et al. (Tue,) studied this question.

synapsesocial.com/papers/68e6cdf2b6db64358764be9c https://doi.org/https://doi.org/10.48550/arxiv.2405.00249

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