GEMETHNES erc

Characterizations of differentiability for h-convex functions in stratified groups

Magnani Valentino - Scienza Matteo

accepted
year: 2010
journal: Ann. Scuola Norm. Sup. Pisa Cl. Sci.
abstract: Using the notion of h-subdiff erential, we characterize both first and second order diff erentiability of h-convex functions in stratifi ed groups. We show that Aleksandrov's second order diff erentiability of h-convex functions is equivalent to a suitable di fferentiability of their horizontal gradient.

The paper is available on the cvgmt preprint server.