The sub-Finsler Bernstein problem in H1

Authors

  • Gianmarco Giovannardi Università degli Studi di Firenze

DOI:

https://doi.org/10.6092/issn.2240-2829/16158

Keywords:

Heisenberg group, area-stationary surfaces, sub-Finsler structure, stable surfaces, Bernstein Problem, sub-Finsler perimeter

Abstract

This is a note based on the paper [32] written in collaboration with M. Ritoré. The purpose of this note is to present and discuss the Bernstein type problems in the sub-Finsler Heisenberg group H1. We give a general idea of the state of the art and we prove that a complete, stable, (X,Y)-Lipschitz surface is a vertical plane.

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Published

2023-01-09

How to Cite

Giovannardi, G. (2022). The sub-Finsler Bernstein problem in H1. Bruno Pini Mathematical Analysis Seminar, 13(1), 68–89. https://doi.org/10.6092/issn.2240-2829/16158

Issue

Vol. 13 No. 1 (2022): Seminars 2022

Section

Articles

License

Copyright (c) 2022 Gianmarco Giovannardi

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 Unported License.