Riemann zero mean curvature examples in Lorentz–Minkowski space

DOI10.1002/mma.8093zbMath1530.53016arXiv1812.00589OpenAlexW3213581008MaRDI QIDQ6181804

Rafael López, Seher Kaya

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00589

zbMATH Keywords

mean curvaturemaximal surfacesLorentz-Minkowski space

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space
• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Constant mean curvature surfaces foliated by circles in Lorentz-Minkowski space
• Constant mean curvature hypersurfaces foliated by spheres
• Minimal hypersurfaces foliated by spheres
• Minimal Surfaces Based on the Catenoid
• CAUSAL CHARACTERS OF ZERO MEAN CURVATURE SURFACES OF RIEMANN TYPE IN THE LORENTZ-MINKOWSKI 3-SPACE
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• The Riemann minimal examples
• Timelike surfaces with constant mean curvature in Lorentz three-space
• Maximal surfaces of Riemann type in Lorentz-Minkowski space \(\mathbb L^3\)

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