67 citations · 124 across the 33 of their papers we have counts for
3 papers · 1 filter
Currents in Heisenberg groups
Bruno Franchi, Pierre Pansu
There are three approaches to currents tuned to the anisotropic geometry of Heisenberg groups: Ambrosio and Kirchheim's approach valid for general metric spaces; distributions dual…
Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth
Katrin FÄssler, 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…
Hölder maps from Euclidean spaces to Carnot groups
Zoltan Balogh, Artem Kozhevnikov, Pierre Pansu
We give alternative proofs of (unsharp) results of Gromov's on his H\''older equivalence problem: for which does there exist a -homeomorphism of an open set of Euclidean s…