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Minimal surfaces with arbitrary topology in $\mathbb H^2\times \mathbb R$

Baris Coskunuzer

Algebraic & Geometric Topology 21 (2021) 3123–3151
Abstract

We show that any open orientable surface S can be properly embedded in 2 × as an area-minimizing surface.

Keywords
minimal surfaces, asymptotic plateau problem, $\mathbb{H}^2\times \mathbb{R}$
Mathematical Subject Classification
Primary: 53A10
Secondary: 53C42
References
Publication
Received: 4 June 2020
Revised: 14 November 2020
Accepted: 2 December 2020
Published: 22 November 2021
Authors
Baris Coskunuzer
Mathematics Department
University of Texas at Dallas
Richardson, TX
United States