Constant mean curvature surfaces in ℍ²×ℝ with boundary in two parallel planes

2015/12/23 by Rodrigo B. Soares, Soares, Rodrigo, Patrícia Kruse Klaser +3
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1512.07637

openalex publication_date 2015/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given H∈ [0,∞), some sufficient conditions for existence of CMC H graphs with boundary in two parallel planes of ℍ²×ℝ are presented. Height estimates for outwards-oriented CMC surfaces (horo)cyllindrically bounded are also exhibited.

Citations

• Non existence of constant mean curvature graphs on circular annuli of ℍ²

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