67 citations · 124 across the 33 of their papers we have counts for
37 papers
On possible values of the signature of flat unitary bundles over compact surfaces
Inkang Kim, Pierre Pansu, Xueyuan Wan
We determine all possible signatures of flat Hermitian bundles over compact, connected, oriented surfaces of positive genus with nonempty boundary. If has genus …
Higher degree obstructions to quasiconformal equivalence
Pierre Pansu, Francesca Tripaldi
Pairs of diffeomorphic Riemannian manifolds are shown not to be quasiconformally equivalent, while no degree one invariant (extremal lengths, conformal parabolicity,...) can distin…
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 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…