Darboux transforms of a harmonic inverse mean curvature surface

DOI10.1155/2013/902092zbMath1314.53012arXiv1211.4826OpenAlexW2073972482WikidataQ58920257 ScholiaQ58920257MaRDI QIDQ2260778

Katsuhiro Moriya

Publication date: 12 March 2015

Published in: Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4826

zbMATH Keywords

Painlevé III equationbackward Bäcklund transformisothermic harmonic inverse mean curvature surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

Twistor lifts and factorization for conformal maps from a surface to the Euclidean four-space

Cites Work

• Constrained Willmore tori in the 4-sphere
• The spectral curve of a quaternionic holomorphic line bundle over a 2-torus
• Surfaces with harmonic inverse mean curvature and Painlevé equations
• Painlevé equations in the differential geometry of surfaces
• Darboux transforms and spectral curves of constant mean curvature surfaces revisited
• Bonnet pairs and isothermic surfaces
• Sequences of Willmore surfaces
• Conformal geometry of surfaces in \(S^4\) and quaternions
• Unnamed Item

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