Semi-discrete isothermic surfaces
classification
🧮 math.DG
keywords
semi-discretestudiedsurfacestransformationcurvesdarbouxisothermicpolarized
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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.
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