scientific article; zbMATH DE number 6992869

zbMath1404.53005MaRDI QIDQ4561673

Eun-Joo Lee

Publication date: 12 December 2018

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

geodesic curvaturehelicoidEnneper surfacecatenoidLiouville's equationassociate minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) 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 with planar lines of curvature and orthogonal systems of cycles
• Uniqueness and globality of the Liouville formula for entire solutions of \(\frac{\partial^2\log\lambda}{\partial z\partial\overline z} + \frac\lambda2=0\)
• Liouville's formula under the viewpoint of minimal surfaces
• Geodesics in minimal surfaces
• Deformation of minimal surfaces with planar curvature lines
• A CHARACTERIZATION OF THE CATENOID AND HELICOID

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