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math.DG2021
Discrete minimal nets with symmetries
Joseph Cho, Wayne Rossman, Seong-Deog Yang
In this paper, we extend the notion of Schwarz reflection principle for smooth minimal surfaces to the discrete analogues for minimal surfaces, and use it to create global examples…
math.DG2021
Constrained elastic curves and surfaces with spherical curvature lines
Joseph Cho, Mason Pember, Gudrun Szewieczek
In this paper we consider surfaces with one or two families of spherical curvature lines. We show that every surface with a family of spherical curvature lines can locally be gener…
math.DG2021
Generalised Bianchi permutability for isothermic surfaces
Joseph Cho, Katrin Leschke, Yuta Ogata
Isothermic surfaces are surfaces which allow a conformal curvature line parametrisation. They form an integrable system, and Darboux transforms of isothermic surfaces obey Bianchi…