Area-minimizing cones in the Heisenberg group H
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
Affiliations des auteurs :
Sebastiano Nicolussi Golo 1 ; Manuel Ritoré 2
@article{AFM_2021_46_2_a19,
author = {Sebastiano Nicolussi Golo and Manuel Ritor\'e},
title = {Area-minimizing cones in the {Heisenberg} group {H}},
journal = {Annales Fennici Mathematici},
pages = {945--956},
year = {2021},
volume = {46},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a19/}
}
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/