Semi-discrete isothermic surfaces

Authors :: Burstall, F.
Hertrich-Jeromin, U.
Mueller, C.
Rossman, W.
Source :: Geom. Dedicata 183 (2016) 43-58
Publication Year :: 2015
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.<br />Comment: plain TeX, 12 pages