Area-minimizing cones in the Heisenberg group ${\mathbb{H}}^1$

Abstract

We present a characterization of minimal cones of class $C^2$ and $C^1$ in the first Heisenberg group ${\mathbb{H}}^1$, with an additional set of examples of minimal cones that are not of class $C^1$.

13 pages; 4 figures. Final version accepted in Ann. Acad. Sci. Fenn. Math