Monthly Archives: February 2012

Characterizations of intrinsic regular graphs in Heisenberg groups joint with L. Caravenna and F. Serra Cassano. The following theorem is a sub-Riemannian version of the implicit function theorem. Theorem 1 (Franchi, Serapioni, Serra Cassano) Let admit continuous first horizontal derivatives. … Continue reading →

A class of -rectifiable subsets of metric spaces (and Hausdorff measures of curves in SR geometry) Joint work with R. Ghezzi. 1. Case of curves 1.1. -length Let distribution define a sub-Riemannian structure on . Let denote the distributions generated … Continue reading →

Differential forms and the Hölder homeomorphism problem, after Gromov and Rumin 1. Gromov’s Hölder homeomorphism problem 1.1. The problem Question (Gromov 1993). Let be an -dimensional sub-Riemannian manifold. For which does there exist locally a homeomorphism which is -Hölder continuous … Continue reading →