A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\)
type: Item
instance of: scholarly article
title: A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\)
zbMATH Open document ID: 1078.53005
DOI: 10.1007/BF02969342
author: Xianqiang Yang
published in: Qualitative Theory of Dynamical Systems
publication date: 2005-04-23T00:00:00Z
review text: In the main result of the paper, the authors establish a differential equation for the lines of curvature of a smooth immersion of a surface into 4-dimensional Euclidean space. The equation is phrased in the isothermal coordinates. They mention some consequences of the main result.
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 53B20
zbMATH DE Number: 2161118
zbMATH Keywords: line of curvature
zbMATH Keywords: smooth immersion
zbMATH Keywords: isothermal coordinates
Wikidata QID: Q115391033
reviewed by: Jarek Kȩdra
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2161118