The spectral curve theory for \((k,l)\)-symmetric CMC surfaces

DOI10.1016/j.geomphys.2015.08.010zbMath1328.53009arXiv1501.01929OpenAlexW2167978842WikidataQ115165367 ScholiaQ115165367MaRDI QIDQ893251

Sebastian Heller, Lynn Heller, Nicholas Schmitt

Publication date: 13 November 2015

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

Full work available at URL: https://arxiv.org/abs/1501.01929

zbMATH Keywords

spectral dataconstant mean curvature surfacesconstant mean curvature surfacemoduli spaces of flat connectionsspectral curves and Whitham deformationsclosing conditionsPlateau solutions

Mathematics Subject Classification ID

Related Items (10)

Construction of constant mean curvature \(n\)-noids using the DPW method ⋮ Fuchsian DPW potentials for Lawson surfaces ⋮ Area estimates for high genus Lawson surfaces via DPW ⋮ DPW potentials for compact symmetric CMC surfaces in \(\mathbb{S}^3\) ⋮ Real holomorphic sections of the Deligne-Hitchin twistor space ⋮ Minimal n -noids in hyperbolic and anti-de Sitter 3-space ⋮ Energy of sections of the Deligne-Hitchin twistor space ⋮ Constant mean curvature surfaces based on fundamental quadrilaterals ⋮ Generalized Whitham flow and its applications ⋮ The asymptotic behavior of the monodromy representation of the associated family of a compact CMC surface

Cites Work

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• Higher genus minimal surfaces in S3 and stable bundles
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• The Self-Duality Equations on a Riemann Surface
• A CRITERION FOR THE EXISTENCE OF A PARABOLIC STABLE BUNDLE OF RANK TWO OVER THE PROJECTIVE LINE
• Deformations of Symmetric CMC Surfaces in the 3-Sphere
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