Generalized polar transforms of spacelike isothermic surfaces

DOI10.1016/j.geomphys.2011.11.003zbMath1239.53009arXiv1111.1115OpenAlexW2097446977WikidataQ126112756 ScholiaQ126112756MaRDI QIDQ2428162

Peng Wang

Publication date: 24 April 2012

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

Full work available at URL: https://arxiv.org/abs/1111.1115

zbMATH Keywords

Christoffel transformspectral transformDarboux transformpermutability theoremc-polar transformspace-like isothermic surfaces

Mathematics Subject Classification ID

Related Items (3)

On transforms of timelike isothermic surfaces in pseudo-Riemannian space forms ⋮ Conformal geometry of marginally trapped surfaces in \(\mathbb {S}^4_1\) ⋮ On Willmore surfaces in 𝑆ⁿ of flat normal bundle

Cites Work

• Isothermic and S-Willmore surfaces as solutions to a problem of Blaschke
• Space-like isothermic surfaces and Grassmannian systems
• Curved flats in symmetric spaces
• Curved flats and isothermic surfaces
• Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces
• Adjoint transform of Willmore surfaces in \(\mathbb {S}^n\)
• Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms
• Polar transform of spacelike isothermic surfaces in 4-dimensional Lorentzian space forms
• The submanifold geometries associated to Grassmannian systems
• Isothermic Surfaces and the Gauss Map
• Darboux Transformations for Space-Like Isothermic Surfaces in R ^{m ,1}
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