1. Dipartimento di Informatica, strada le Grazie 15, 37134 Verona, Italy;2. Dipartimento di Matematica, via Trieste 63, 35121 Padova, Italy
Abstract:
We prove a rank-one theorem à la G. Alberti for the derivatives of vector-valued maps with bounded variation in a class of Carnot groups that includes Heisenberg groups for . The main tools are properties relating the horizontal derivatives of a real-valued function with bounded variation and its subgraph.