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math.MG2025
Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth
Katrin FÃssler, Enrico Le Donne, Sebastiano Nicolussi Golo +2
We study conditions under which quasi-conformal homeomorphisms are quasi-isometries. We show that if two nilpotent geodesic Lie groups are quasi-conformally homeomorphic, then they…
math.MG2024
Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Sebastiano Nicolussi Golo, Ye Zhang
In this paper we characterize the geodesic dimension and give a new lower bound to the curvature exponent on Sard-regular Carnot groups. As an application, we gi…