| Abstract: |
| In this talk we consider the problem of characterizing gauge balls in the Heisenberg group by prescribing their (non-constant) horizontal mean curvature. We discuss two uniqueness results: in the lowest dimensional case under an assumption on the location of the singular set, and in higher dimensions in the proper class of horizontally umbilical hypersurfaces. This is a joint work with C. Guidi and V. Martino. |
|