English

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

Metric Geometry 2021-02-01 v2

Abstract

We present a characterization of minimal cones of class C2C^2 and C1C^1 in the first Heisenberg group H1\mathbb{H}^1, with an additional set of examples of minimal cones that are not of class C1C^1.

Keywords

Cite

@article{arxiv.2008.04027,
  title  = {Area-minimizing cones in the Heisenberg group $\mathbb{H}^1$},
  author = {Sebastiano Nicolussi Golo and Manuel Ritoré},
  journal= {arXiv preprint arXiv:2008.04027},
  year   = {2021}
}

Comments

13 pages; 4 figures. Final version accepted in Ann. Acad. Sci. Fenn. Math