The Lorentzian version of a theorem of Krust

DOI10.1007/S40840-020-00968-XzbMath1466.53009arXiv2005.07657OpenAlexW3042528537MaRDI QIDQ2021651

Rafael López

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07657

zbMATH Keywords

minimal surfacemaximal surfacedual surfaceconjugate surface

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) Non-Euclidean differential geometry (53A35)

Related Items (2)

A version of Krust’s theorem for anisotropic minimal surfaces ⋮ Extension of Krust theorem and deformations of minimal surfaces

Cites Work

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• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• On the duality between rotational minimal surfaces and maximal surfaces
• Generalized Calabi correspondence and complete spacelike surfaces
• Extensions of the duality between minimal surfaces and maximal surfaces
• Minimal cones and the Bernstein problem
• A duality result between the minimal surface equation and the maximal surface equation
• Minimal surface systems, maximal surface systems and special Lagrangian equations
• The extremal surfaces in the 3-dimensional Minkowski space
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• Maximal surfaces of Riemann type in Lorentz-Minkowski space \(\mathbb L^3\)

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