The Bernstein problem in higher dimensional Heisenberg groups
Gianmarco Giovannardi, Simone Verzellesi
Abstract
In every sub-Riemannian Heisenberg group Hn, with n≥ 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.
Create a lesson
Related papers
A Lean Formalization of the Hamilton--Perelman Proof of Thurston's Geometrization Conjecture
Yuan Liao, Ziyang Qin, Jui-Hui Chung et al.
A counterexample to Nirenberg's conjecture on closed asymptotic curves
Harrison Banks, Mohammad Ghomi, Hongda Qiu et al.
Topping's conjecture for solutions of harmonic map flow with isolated bubbles
Melanie Rupflin, Alex Waldron, Sebastian Woodward
The Renormalized Area--Willmore Relation
Alvaro Pampano, Aaron J. Tyrrell
Compact lcK manifolds with Gauduchon parallel vector fields
Andrei Moroianu, Giacomo Perri
Compactly supported instability of Riemannian Schwarzschild--Tangherlini metrics
Erwann Delay