Helicoidal minimal surfaces of prescribed genus
type: Item
instance of: scholarly article
title: Helicoidal minimal surfaces of prescribed genus
zbMATH Open document ID: 1356.53010
author: Martin Traizet
author: Brian White
author: David Hoffman
published in: Acta Mathematica
publication date: 2016-12-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1508.00064
review text: From the reviewer's perspective, this article represents a major contribution to the field of differential geometry. The main result that is stated and proved is ``For every \(g\), there exist genus-\(g\) helicoids in \(\mathbb R^3\).'' The paper is over 100 page in length, due to the fact that many preliminaries and historical results had to be presented, together with all the preparatory work for proving the main result. This makes it accessible to a large audience of researchers in the field of minimal surfaces, including postdoctoral scholars and graduate students. The reviewer would highly recommend including this paper in a special topics graduate course on differential geometry. The presentation is concise, and very rigorous at the same time. This topic has attracted a lot of attention over the past few years, and the research community is already aware of its importance.
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 6668371
zbMATH Keywords: genus-\(g\) helicoids
reviewed by: Magdalena Daniela Toda
MaRDI profile type: Publication
OpenAlex ID: W2962964092
arXiv ID: 1508.00064
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DOI: 10.1007/S11511-016-0139-Z
description: scientific article