Cylindrically bounded constant mean curvature surfaces in ℍ²×ℝ

2012/03/13 by Laurent Mazet, Mazet, Laurent · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1203.2746

openalex publication_date 2012/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove that a properly embedded constant mean curvature surface in ℍ²×ℝ which has finite topology and stays at a finite distance from a vertical geodesic line is invariant by rotation around a vertical geodesic line.

Citations

• A general halfspace theorem for constant mean curvature surfaces

Cited by

• The Dirichlet problem for the minimal surface equation in \rm Sol₃, with possible infinite boundary data

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