Bi-Lipschitz rigidity of discrete subgroups
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 slim limit set in G/P for any non-maximal parabolic subgroup P.
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