Area-minimizing ruled graphs and the Bernstein problem in the Heisenberg group

2021/05/19 by Robert Young, Young, Robert · 2 citations
Computer Science · Engineering · Mathematics · #49Q05 (Primary) 53C17 #49Q20 (Secondary) #Advanced Mathematical Modeling in Engineering #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2105.08890

openalex publication_date 2021/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a necessary and sufficient condition for a graphical strip in the Heisenberg group ℍ to be area-minimizing in the slab \-1

Cited by

• The Bernstein problem for Sobolev intrinsic graphs in the Heisenberg group
• Plateau's Problem for intrinsic graphs in the Heisenberg Group

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• Existence and structure of P-area minimizing surfaces in the Heisenberg group
• Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group