• Corpus ID: 9011524

Discrete surfaces of constant mean curvature

@article{Burstall2008DiscreteSO,
  title={Discrete surfaces of constant mean curvature},
  author={Francis Burstall and Udo Hertrich-Jeromin and Wayne Rossman and Susana D. Santos},
  journal={arXiv: Differential Geometry},
  year={2008}
}
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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