Timelike surfaces in 3-dimensional lightlike cone

DOI10.1016/J.JMAA.2012.04.037zbMath1243.53020OpenAlexW1986182091MaRDI QIDQ432419

Liu Hui-Li

Publication date: 4 July 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.037

zbMATH Keywords

minimal surfacerepresentation formulacone time-like surfacedual surfacehomogeneous surfacelight-like cone

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• Representation formulas of curves in a two- and three-dimensional lightlike cone
• Timelike minimal surfaces via loop groups
• Surfaces in the lightlike cone
• Hypersurfaces in lightlike cone
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
• Curves in the lightlike cone
• An introduction to Lorentz surfaces
• The duality of conformally flat manifolds

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