Simone Verzellesi

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math.DG2025

Curvature estimates for minimal hypersurfaces in the Heisenberg group

Gianmarco Giovannardi, Andrea Pinamonti, Simone Verzellesi

This paper examines minimal hypersurfaces in sub-Riemannian Heisenberg groups. We extend the celebrated Simons formula and Kato inequality to the sub-Riemannian setting, and we app…

math.DG2024

Existence and uniqueness of $t$ -graphs of prescribed mean curvature in Heisenberg groups

JuliÃ¡n Pozuelo, Simone Verzellesi

We study the prescribed mean curvature equation for $t$ -graphs in a Riemannian Heisenberg group of arbitrary dimension. We characterize the existence of classical solutions in a bo…

Curvature estimates for minimal hypersurfaces in the Heisenberg group

Existence and uniqueness of t-graphs of prescribed mean curvature in Heisenberg groups

Existence and uniqueness of $t$ -graphs of prescribed mean curvature in Heisenberg groups