Minimal surfaces from infinitesimal deformations of circle packings

DOI10.1016/j.aim.2019.106939zbMath1433.52027arXiv1712.08564OpenAlexW2998601089WikidataQ126432326 ScholiaQ126432326MaRDI QIDQ2287941

Wai Yeung Lam

Publication date: 22 January 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08564

zbMATH Keywords

quadratic differentialscircle packingsdiscrete harmonic functionscircle patternsdiscrete minimal surfacesWeierstrass parameterization

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Circle packings and discrete conformal geometry (52C26)

Related Items (5)

Smarandache ruled surfaces according to Frenet-Serret frame of a regular curve in \(E^3\) ⋮ Packing disks by flipping and flowing ⋮ Unnamed Item ⋮ Quadratic differentials and circle patterns on complex projective tori ⋮ Characteristic properties of type-2 Smarandache ruled surfaces according to the type-2 Bishop frame in \(E^3\)

Uses Software

• CirclePack

Cites Work

• Unnamed Item
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