Construction of discrete constant mean curvature surfaces in Riemannian spaceforms and applications

摘要

In this paper we give a construction for discrete constant mean curvature surfaces in Riemannian spaceforms in terms of integrable systems techniques, which we call the discrete DPW method for discrete constant mean curvature surfaces. Using this construction, we give several examples, and analyze singularities of the parallel constant Gaussian curvature surfaces. (C) 2017 Elsevier B.V. All rights reserved.