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Weierstrass representation of discrete constant mean curvature surfaces in isotropic space

Volume 137 / 2026

Joseph Cho, Masaya Hara Annales Polonici Mathematici 137 (2026), 27-47 MSC: Primary 53A70; Secondary 53A35, 53B30 DOI: 10.4064/ap250326-23-12 Published online: 14 September 2026

Abstract

We obtain a Weierstrass representation for discrete constant mean curvature surfaces in isotropic $3$-space, and use this to construct examples with discrete closed-form parametrizations.

Authors

  • Joseph ChoGlobal Leadership School
    Handong Global University
    Pohang, 37554, South Korea
    e-mail
  • Masaya HaraDepartment of Creative Technology Engineering
    National Institute of Technology, Anan College
    774-0017 Tokushima, Japan
    e-mail

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