\(\mathcal{X}\)-convexity and applications

Federica Dragoni

(University of Cardiff)

Event: ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces

Date: Oct 11, 2011, time: 10:40

Place: Centro De Giorgi, Scuola Normale Superiore

Abstract. |
(joint work with Martino Bardi)|
We introduce a new notion of convexity, namely \(\mathcal{X}\)-convexity, which applies to any given family of vector fields and in particular to the sub-Riemannian case.|
We then show a PDE-characterization for \(\mathcal{X}\)-convex functions and we investigate some properties of these functions.