67 citations · 124 across the 33 of their papers we have counts for
4 papers · 2 filters
Gagliardo-Nirenberg Inequalities for Differential Forms in Heisenberg Groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
The L 1-Sobolev inequality states that the L n/(n--1)-norm of a compactly supported function on Euclidean n-space is controlled by the L 1-norm of its gradient. The generalization…
A discontinuous isoperimetric profile for a complete Riemannian manifold
Stefano Nardulli, Pierre Pansu
The first known example of a complete Riemannian manifold whose isoperimetric profile is discontinuous is given.
Lipschitz extensions of maps between Heisenberg groups
Zoltan Balogh, Urs Lang, Pierre Pansu
Let $\H^n$ be the Heisenberg group of topological dimension . We prove that if is odd, the pair of metric spaces $(\H^n, \H^n)$ does not have the Lipschitz extension prop…
Sard Property for the endpoint map on some Carnot groups
Enrico Le Donne, Richard Montgomery, Alessandro Ottazzi +2
In Carnot-Caratheodory or sub-Riemannian geometry, one of the major open problems is whether the conclusions of Sard's theorem holds for the endpoint map, a canonical map from an i…