In this paper, we aim at identifying the level sets of the gauge norm in the Heisenberg group Hn via the prescription of their (non-constant) horizontal mean curvature. We establish a uniqueness result in H1 under an assumption on the location of the singular set, and in Hn for n ≥ 2 in the proper class of horizontally umbilical hypersurfaces.
A characterization of gauge balls in H^n by horizontal curvature
Tralli G.
2024
Abstract
In this paper, we aim at identifying the level sets of the gauge norm in the Heisenberg group Hn via the prescription of their (non-constant) horizontal mean curvature. We establish a uniqueness result in H1 under an assumption on the location of the singular set, and in Hn for n ≥ 2 in the proper class of horizontally umbilical hypersurfaces.File in questo prodotto:
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