Semi-discrete isothermic surfaces
arXiv:1506.04730 · doi:10.1007/s10711-016-0143-7
Abstract
A Darboux transformation for polarized space curves is introduced and its properties are studied, in particular, Bianchi permutability. Semi-discrete isothermic surfaces are described as sequences of Darboux transforms of polarized curves in the conformal n-sphere and their transformation theory is studied. Semi-discrete surfaces of constant mean curvature are studied as an application of the transformation theory.
plain TeX, 12 pages
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