Simple factor dressing and the López-Ros deformation of minimal surfaces in Euclidean 3-space

DOI10.1007/s00209-018-2217-8zbMath1428.58014arXiv1409.5286OpenAlexW2964161084WikidataQ125134554 ScholiaQ125134554MaRDI QIDQ2633097

Katsuhiro Moriya, Katrin Leschke

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5286

zbMATH Keywords

integrable systemsWillmore surfacesharmonic mapsconformal Gauss mapdressingminimal surface theorydoubly-periodic minimal surfacesconjugate surfaceLopez-Ros deformationScherk's first surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items

Deformation of minimal surfaces with planar curvature lines ⋮ The \(\mu\)-Darboux transformation of minimal surfaces ⋮ Applications of quaternionic holomorphic geometry to minimal surfaces ⋮ Willmore deformations between minimal surfaces in \(\mathbb{H}^{n+2}\) and \(\mathbb{S}^{n+2}\)

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