Minimal surfaces under constrained Willmore transformation

DOI10.1007/978-3-030-68541-6_13zbMath1483.53082OpenAlexW3157275512MaRDI QIDQ2065862

Áurea C. Quintino

Publication date: 13 January 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-68541-6_13

zbMATH Keywords

minimal surfacesBäcklund transformationsisothermic surfacesconstant mean curvature surfacesWillmore energyconstrained Willmore surfacesspectral deformationpolynomial conserved quantities

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

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• Dressing transformations of constrained Willmore surfaces
• Constrained Willmore surfaces
• The conformal Gauss map of submanifolds of the Möbius space
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Special isothermic surfaces of type d
• Isothermic submanifolds of symmetric R-spaces
• Willmore Surfaces with a Duality in S ^N (1)
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
• Bäcklund transformations and loop group actions
• Constrained Willmore Surfaces
• A Global Invariant of Conformal Mappings in Space
• Conformal geometry of surfaces in \(S^4\) and quaternions

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