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arXiv · 2610.13913

The Bernstein problem in higher dimensional Heisenberg groups

Gianmarco Giovannardi·Simone Verzellesi
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Abstract

In every sub-Riemannian Heisenberg group $\mathbb H^n$, with $n\geq 2$, we prove the existence of a global perimeter minimizer whose boundary is a smooth, non-characteristic, entire intrinsic graph but it is not a vertical hyperplane.

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Gianmarco Giovannardi, Simone Verzellesi. 2026-10-09. The Bernstein problem in higher dimensional Heisenberg groups. https://arxiv.org/abs/2610.13913

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