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Area-minimizing cones in the Heisenberg group H

Authors

Sebastiano Nicolussi Golo
University of Jyväskylä, Department of Mathematics and Statistics
Manuel Ritoré
Universidad de Granada, Departamento de Geometría y Topología & Research Unit MNat

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Published in Vol. 46 No. 2 (2021) of Annales Fennici Mathematici.

Annales Fennici Mathematici publishes original research papers in all fields of mathematics. Historically the emphasis has been on analysis. One volume, divided into two issues, is published annually. Ann. Fenn. Math. is published by the Finnish Mathematical Society.

Abstract

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 \(C^1\).

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Details

Published
August 18, 2021
Issue
Section
Articles
Keywords Heisenberg group, minimal surfaces, area-minimizing cones
How to Cite
Nicolussi Golo, S., & Ritoré, M. (2021). Area-minimizing cones in the Heisenberg group H. Annales Fennici Mathematici, 46(2), 945-956. https://afm.journal.fi/article/view/110904
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