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

Authors :: Golo, Sebastiano Nicolussi
Ritoré, Manuel
Publication Year :: 2020
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 $C^1$.<br />Comment: 13 pages; 4 figures. Final version accepted in Ann. Acad. Sci. Fenn. Math