Isothermic and S-Willmore surfaces as solutions to a problem of Blaschke

DOI10.1007/BF03323370zbMath1105.53008arXivmath/0405085OpenAlexW2011054199MaRDI QIDQ860144

Xiang Ma

Publication date: 23 January 2007

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405085

zbMATH Keywords

hyperbolic 3-spacesphere congruence

Mathematics Subject Classification ID

Related Items (11)

Willmore surfaces of constant Möbius curvature ⋮ On transforms of timelike isothermic surfaces in pseudo-Riemannian space forms ⋮ On symmetric Willmore surfaces in spheres. I: The orientation preserving case. ⋮ Laguerre isothermic surfaces in \(\mathbb R^3\) and their Darboux transformation ⋮ Generalized polar transforms of spacelike isothermic surfaces ⋮ Blaschke's problem for hypersurfaces ⋮ WEIERSTRASS–KENMOTSU REPRESENTATION OF WILLMORE SURFACES IN SPHERES ⋮ BLASCHKE'S PROBLEM FOR TIMELIKE SURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS ⋮ All superconformal surfaces in \({\mathbb R^4}\) in terms of minimal surfaces ⋮ Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms ⋮ The dual superconformal surface

Cites Work

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• A duality theorem for Willmore surfaces
• Isothermic Surfaces and the Gauss Map
• Willmore Surfaces with a Duality in S ^N (1)
• Isothermic Surfaces in Spaces of Arbitrary Dimension: Integrability, Discretization, and Bäcklund Transformations—A Discrete Calapso Equation
• Möbius geometry of surfaces of constant mean curvature 1 in hyperbolic space
• Conformal geometry of surfaces in \(S^4\) and quaternions

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