Surfaces with planar lines of curvature and orthogonal systems of cycles

DOI10.1016/J.JMAA.2014.07.047zbMath1298.53051OpenAlexW2034287484MaRDI QIDQ743194

Maria Luiza Leite

Publication date: 23 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.047

zbMATH Keywords

maximal surfaceorthogonal system of cyclesplanar line of curvature

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)

Related Items (6)

Deformation and singularities of maximal surfaces with planar curvature lines ⋮ On the duality between rotational minimal surfaces and maximal surfaces ⋮ Deformation of minimal surfaces with planar curvature lines ⋮ Unnamed Item ⋮ A class of generalized special Weingarten surfaces ⋮ Analysis of timelike Thomsen surfaces

Cites Work

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• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• An appendix to the Weierstrass representation of a maximal spacelike surface in \(\mathbb{L}^3\)
• Liouville's theorem revisited
• How many maximal surfaces do correspond to one minimal surface?

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