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

preprint2021arXivOpen access

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 $C^1$ .

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

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Area-minimizing cones in the Heisenberg group H1\mathbb{H}^1H1

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