From the 1 of 8 linked papers with an AI index.
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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…
Hypergenerated Carnot groups
Enrico Le Donne, Luca Nalon, Nicola Paddeu +1
In this paper we provide an algebraic characterization of those stratified groups in which boundaries with locally constant normal are locally flat. We show that these groups, whic…
Carnot rectifiability and Alberti representations
Gioacchino Antonelli, Enrico Le Donne, Andrea Merlo
A metric measure space is said to be Carnot-rectifiable if it can be covered up to a null set by countably many biLipschitz images of compact sets of a fixed Carnot group. In this…