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arXiv · 1506.04730

Semi-discrete isothermic surfaces

F. Burstall·U. Hertrich-Jeromin·C. Mueller·W. Rossman
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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.

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F. Burstall, U. Hertrich-Jeromin, C. Mueller, W. Rossman. 2015-06-15. Semi-discrete isothermic surfaces. https://doi.org/10.1007/s10711-016-0143-7

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