Area estimates for high genus Lawson surfaces via DPW

DOI10.4310/jdg/1685121318zbMath1525.53072arXiv1907.07139WikidataQ123363172 ScholiaQ123363172MaRDI QIDQ6113400

Martin Traizet, Sebastian Heller, Lynn Heller

Publication date: 9 August 2023

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07139

zbMATH Keywords

minimal surfacesDPW methodarea estimatesLawson surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Loop groups and related constructions, group-theoretic treatment (22E67) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Fuchsian DPW potentials for Lawson surfaces ⋮ Opening nodes in the DPW method: co-planar case

Cites Work

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• Lawson's genus two surface and meromorphic connections
• Gluing Delaunay ends to minimal \(n\)-noids using the DPW method
• The spectral curve theory for \((k,l)\)-symmetric CMC surfaces
• Comparison surfaces for the Willmore problem
• Embedded minimal surfaces derived from Scherk's examples
• Weierstrass type representation of harmonic maps into symmetric spaces
• Construction of constant mean curvature \(n\)-noids using the DPW method
• Morse index of multiplicity one min-max minimal hypersurfaces
• Harmonic maps from a 2-torus to the 3-sphere
• Complete minimal surfaces in \(S^ 3\)
• Constant mean curvature surfaces and integrable equations
• The large genus limit of the infimum of the Willmore energy
• Minimal surfaces in the three-sphere by doubling the Clifford torus
• Global solutions of the elliptic 2D periodic Toda lattice
• Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms
• Delaunay ends of constant mean curvature surfaces

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