The Bernstein problem for (X, Y)-Lipschitz surfaces in three-dimensional sub-Finsler Heisenberg groups

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URI: https://hdl.handle.net/10481/91708
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Author
Giovannardi, Gianmarco; Ritoré Cortés, Manuel María
Editorial
World Scientific
Materia
Heisenberg group
 
Area-stationary surfaces
 
Sub-Finsler structure
 
Date
2024-02-09
Referencia bibliográfica
Gianmarco Giovannardi and Manuel Ritoré. The Bernstein problem for (X,Y)-Lipschitz surfaces in three-dimensional sub-Finsler Heisenberg groups. Commuications in Contemporary Mathematics, 0, 0:0 [10.1142/S0219199723500487]
Sponsorship
MCIN/AEI/10.13039/501100011033 grant PID2020-118180GB-I00; “ERDF A way of making Europe”.; MCIN/AEI/10.13039/501100011033 grant PID2020-118180GBI00; Junta de Andalucía grant P20-00164; H2020-MSCA-RISE-2017 project GHAIA; INdAM- GNAMPA 2022 Project Analisi geometrica in strutture subriemanniane, codice CUPE55F22000270001
Abstract
In the Heisenberg group H1 with a sub-Finsler structure, an (X, Y)-Lipschitz surface which is complete, oriented, connected and stable must be a vertical plane. In particular, the result holds for entire intrinsic graphs of Euclidean Lipschitz functions.
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Atribución 4.0 Internacional
Except where otherwise noted, this item's license is described as Atribución 4.0 Internacional