Discrete surfaces of constant mean curvature

Details Discrete surfaces of constant mean curvature Discrete surfaces of constant mean curvature

2008-04-17

arxiv.org/abs/0804.2707v1

Mathematics

Differential Geometry

Scientific paper

We propose a unified definition for discrete analogues of constant mean curvature surfaces in spaces of constant curvature as a special case of discrete special isothermic nets. B\"acklund transformations and Lawson's correspondence are discussed. It is shown that the definition generalizes previous definitions and a construction for discrete cmc surfaces of revolution in space forms is provided.

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