Weierstrass representation for lightlike surfaces in Lorentz-Minkowski 3-space

DOI10.1016/j.geomphys.2021.104252zbMath1482.53019OpenAlexW3155989995MaRDI QIDQ2032802

Željka Milin Šipuš, Davor Devald

Publication date: 14 June 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104252

zbMATH Keywords

minimal surfaceWeierstrass representationconformal parametrizationlight-like surfaceLorentz-Minkowski 3-space

Mathematics Subject Classification ID

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

Related Items (1)

Weierstrass Representation of Lightlike Surfaces in Lorentz-Minkowski 4-Space

Cites Work

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• Weierstrass type representation for marginally trapped surfaces in Minkowski 4-space
• Weierstrass representation for timelike minimal surfaces in Minkowski 3-space
• Timelike surfaces in Lorentz 3-space with prescribed mean curvature and Gauss map
• Weierstrass formula for surfaces of prescribed mean curvature
• Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces
• Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
• On minimal lightlike surfaces in Minkowski space-time

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