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

Sebastiano Nicolussi Golo; Manuel Ritoré

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arXiv · 2008.04027

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

Sebastiano Nicolussi Golo·Manuel Ritoré

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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 $C^1$.

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Sebastiano Nicolussi Golo, Manuel Ritoré. 2021-01-29. Area-minimizing cones in the Heisenberg group $\mathbb{H}^1$. https://arxiv.org/abs/2008.04027

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