Higher dimensional minimal submanifolds generalizing the catenoid and helicoid
type: Item
instance of: scholarly article
title: Higher dimensional minimal submanifolds generalizing the catenoid and helicoid
zbMATH Open document ID: 1272.53004
author: Jaigyoung Choe
author: Jens Hoppe
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2013-05-22T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.tmj/1365452624
review text: The paper consists of five theorems which describe the construction of new minimal surfaces in \(\mathbb R^{n+2}\), \(\mathbb R^{2n+3}\), \(\mathbb H^{2n+3}\), \(\mathbb S^{2n+3}\) originated from complete minimal submanifolds of \(\mathbb S^n\) or from the Clifford torus \(\mathbb S^n(1/\sqrt{2})\times \mathbb S^n(1/\sqrt{2})\). The theorems are proved in detail.
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 53A07
zbMATH DE Number: 6164836
zbMATH Keywords: minimal submanifold
zbMATH Keywords: catenoid
zbMATH Keywords: helicoid
reviewed by: Kaarin Riives
MaRDI profile type: Publication
OpenAlex ID: W2014496182
DOI: 10.2748/TMJ/1365452624
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description: scientific article; zbMATH DE number 6164836