Height estimates for constant mean curvature graphs in Nil₃ and \widetildePSL₂(ℝ)

2018/03/18 by Antonio Bueno, Bueno, Antonio
Mathematics · #53A10 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1803.06688

openalex publication_date 2018/03/18 · openalex created_date 2020/02/24 · openalex updated_date 2026/07/28

Abstract

In this paper we obtain height estimates for compact, constant mean curvature vertical graphs in the homogeneous spaces Nil₃ and \widetildePSL₂(ℝ). As a straightforward consequence, we announce a structure-type result for proper graphs defined on relatively compact domains.

Citations

• The global geometry of surfaces with prescribed mean curvature in\n \ℝ³

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