Zero mean curvature surfaces in \(\mathrm{L}^3\) containing a light-like line
type: Item
instance of: scholarly article
title: Zero mean curvature surfaces in \(\mathrm{L}^3\) containing a light-like line
zbMATH Open document ID: 1257.53090
author: M. C. Fu
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2012-12-13T00:00:00Z
review text: In this research note, the authors provide a few interesting examples of surfaces for which the set of singular points (where the induced metric degenerates) consists of a light-like line. They introduce an important tool, called characteristic of a zero mean curvature surface along a singular light-like line. It is shown that, for specific cases, there exists a real analytic zero mean curvature surface in the Lorenz-(Minkowski) 3-space containing a light-like line segment with certain properties. This result is proven by providing several examples. Although brief, this communication is of genuine novelty and outstanding scientific value.
reviewed by: Magdalena Daniela Toda
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 6115456
MaRDI profile type: Publication
full work available at URL: j.crma.2012.10.024
OpenAlex ID: W2084060190
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DOI: 10.1016/J.CRMA.2012.10.024
description: scientific article; zbMATH DE number 6115456