Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 293

Discrete surfaces of constant mean curvature via dressing

G. Haak

We translate a classification scheme for periodic CMC surfaces developed by J. Dorfmeister and the author to discrete CMC surfaces in the sense of A. Bobenko and U. Pinkall. The scheme uses the dressing action on discrete CMC surfaces to arrive at a classification for periodic discrete CMC surfaces.

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