On the duality between rotational minimal surfaces and maximal surfaces

DOI10.1016/j.jmaa.2017.09.013zbMath1377.53012arXiv1703.04018OpenAlexW2600750080MaRDI QIDQ1674389

Rafael López, Seher Kaya

Publication date: 2 November 2017

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

Full work available at URL: https://arxiv.org/abs/1703.04018

zbMATH Keywords

minimal surfaceWeierstrass representationmaximal surfaceBjörling problemGoursat transformation

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 new method to construct polynomial minimal surfaces ⋮ The Lorentzian version of a theorem of Krust

Cites Work

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• Minimal surface systems, maximal surface systems and special Lagrangian equations
• How many maximal surfaces do correspond to one minimal surface?
• The extremal surfaces in the 3-dimensional Minkowski space
• Björling problem for maximal surfaces in Lorentz–Minkowski space
• Maximal surfaces of Riemann type in Lorentz-Minkowski space \(\mathbb L^3\)

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