Nonorientable minimal surfaces with catenoidal ends
type: Item
instance of: scholarly article
title: Nonorientable minimal surfaces with catenoidal ends
zbMATH Open document ID: 1477.53007
author: Yanyan Li
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2021-07-02T00:00:00Z
review text: For any odd integer \(n\geq 3\), the authors prove the existence of a 1-parameter family of nonorientable complete \({\mathbb Z}_n\)-invariant conformal minimal immersions into \({\mathbb R}^3\). Each of such surfaces is defined on punctured projective planes and it has \(n+1\) catenoidal ends. They also show the non-existence for such surfaces for any even integer \(n\geq 2\).
reviewed by: Rafael López
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 58E12
zbMATH DE Number: 7366998
zbMATH Keywords: nonorientable minimal surface
zbMATH Keywords: catenoidal end
zbMATH Keywords: finite total curvature
MaRDI profile type: Publication
full work available at URL: s10231-020-01048-4
OpenAlex ID: W3096004671
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DOI: 10.1007/S10231-020-01048-4
description: scientific article; zbMATH DE number 7366998