A Weierstrass representation formula for discrete harmonic surfaces

DOI10.3842/sigma.2024.034zbMATH Open1547.53021MaRDI QIDQ6536743

Hisashi Naito, Motoko Kotani

Publication date: 13 May 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

minimal surfacesWeierstrass representation formuladiscrete harmonic surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Circle packings and discrete conformal geometry (52C26) Discrete differential geometry (53A70)

Cites Work

• A discrete surface theory
• Minimal surfaces from circle patterns: geometry from combinatorics
• The convergence of circle packings to the Riemann mapping
• A curvature theory for discrete surfaces based on mesh parallelity
• Construction of continuum from a discrete surface by its iterated subdivisions
• Minimal surfaces from infinitesimal deformations of circle packings
• Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes
• Computing Discrete Minimal Surfaces and Their Conjugates
• Discrete Minimal Surfaces of Koebe Type
• Discrete Minimal Surfaces: Critical Points of the Area Functional from Integrable Systems
• Discrete isothermic surfaces.
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