GEMETHNES erc

Nonsmooth differential geometry

Nicola Gigli

(IMJ - UPMC)

Event: ERC Workshop on Optimal Transportation and Applications

Date: Oct 29, 2014, time: 12:10

Abstract. I shall describe in which sense every metric measure space possesses a first
order differential structure and how a second order one arises in presence of a lower Ricci
curvature bound.