Geodesic
Area-minimizing cones in the Heisenberg group H
Sebastiano Nicolussi Golo1 ; Manuel Ritoré2
1University of Jyväskylä, Department of Mathematics and Statistics
2Universidad de Granada, Departamento de Geometría y Topología & Research Unit MNat
Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 945-956
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We present a characterization of minimal cones of class $C^2$ and $C^1$ in the first Heisenberg group $\mathbf{H}$, with an additional set of examples of minimal cones that are not of class $C^1$.
Keywords: Heisenberg group, minimal surfaces, area-minimizing cones

Sebastiano Nicolussi Golo  1   ; Manuel Ritoré  2

1 University of Jyväskylä, Department of Mathematics and Statistics
2 Universidad de Granada, Departamento de Geometría y Topología & Research Unit MNat 
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Sebastiano Nicolussi Golo; Manuel Ritoré. Area-minimizing cones in the Heisenberg group H. Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 945-956. http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a19/