From the 1 of 6 linked papers with an AI index.
6 papers
Higher degree obstructions to quasiconformal equivalence
Pierre Pansu, Francesca Tripaldi
The paper demonstrates that certain diffeomorphic Riemannian manifolds cannot be related by quasiconformal maps, using a degree‑2 conformal cohomology obstruction, and provides ana…
On the continuity of geodesically convex functions on Riemannian manifolds
Victor-Emmanuel Brunel, Pierre Pansu
In this short note, we prove that all geodesically convex functions defined on a Riemannian manifold are continuous in the interior of their domain. This is a folklore result, but…
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 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…
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…
Primitives of volume forms in Carnot groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
In the Euclidean space it is known that a function of a ball, with vanishing average,is the divergence of a vector field with$$\| F\|\_{ L^2(B)} \le C \|f\|\_…