Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 223

On constant mean curvature surfaces with periodic metric

J. Dorfmeister, G. Haak

We investigate CMC-surfaces with periodic metric in a dressing orbit of the cylinder. It is shown, that such surfaces are always of finite type. Using the periodicity conditions for the extended frame of a CMC-surface, we develop an alternative approach to the classification of CMC-tori given by Pinkall and Sterling.

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