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

DOI10.36890/iejg.1272924zbMath1517.53010OpenAlexW4366331241MaRDI QIDQ6158739

Davor Devald, Željka Milin Šipuš

Publication date: 20 June 2023

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36890/iejg.1272924

zbMATH Keywords

minimal surfaceruled surfaceWeierstrass representationconformal parametrizationLorentz-Minkowski 4-spacelight-like surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

• Weierstrass type representation for marginally trapped surfaces in Minkowski 4-space
• Weierstrass representation for timelike 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
• Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces
• Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
• Weierstrass representation for lightlike surfaces in Lorentz-Minkowski 3-space
• On minimal lightlike surfaces in Minkowski space-time
• LIGHTLIKE SURFACES IN MINKOWSKI 3-SPACE
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