Minimal surfaces with arbitrary topology in ℍ2 × ℝ

Recent Issues

The Journal

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Algebraic & Geometric Topology 21 (2021) 3123–3151

DOI: 10.2140/agt.2021.21.3123

We show that any open orientable surface $S$ can be properly embedded in $ℍ^{2} \times ℝ$ as an area-minimizing surface.

minimal surfaces, asymptotic plateau problem, $\mathbb{H}^2\times \mathbb{R}$

Primary: 53A10

Secondary: 53C42

Received: 4 June 2020

Revised: 14 November 2020

Accepted: 2 December 2020

Published: 22 November 2021

Baris Coskunuzer
Mathematics Department University of Texas at Dallas Richardson, TX United States