A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\)

DOI10.1007/BF02969342zbMath1078.53005WikidataQ115391033 ScholiaQ115391033MaRDI QIDQ1773057

Xianqiang Yang

Publication date: 23 April 2005

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

line of curvatureisothermal coordinatessmooth immersion

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Local Riemannian geometry (53B20)

Related Items

Unnamed Item ⋮ Orthogonal asymptotic lines on surfaces immersed in \(\mathbb{R}^4\)

Cites Work

• Reduction of codimension of regular immersions
• Lines of axial curvature on surfaces immersed in \(\mathbb{R}^4\)
• Lines of curvature near umbilical points on surfaces immersed in \(\mathbb{R}^ 4\)
• On singularities of submanifolds of higher dimensional Euclidean spaces
• A characterization of tori with constant mean curvature in space form
• Principal Lines on Surfaces Immersed With Constant Mean Curvature
• Lines of curvature on surfaces immersed in ?4
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