Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes

DOI10.1007/978-3-662-50447-5_7zbMath1353.30048arXiv1506.08099OpenAlexW1710489704WikidataQ60110894 ScholiaQ60110894MaRDI QIDQ2832775

Wai Yeung Lam, Ulrich Pinkall

Publication date: 14 November 2016

Published in: Advances in Discrete Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08099

zbMATH Keywords

discrete vector fieldstriangulated regions in the plane

Mathematics Subject Classification ID

Discrete potential theory (31C20) Discrete analytic functions (30G25)

Related Items (7)

Isothermic triangulated surfaces ⋮ Infinitesimal conformal deformations of triangulated surfaces in space ⋮ Holomorphic quadratic differentials on graphs and the chromatic polynomial ⋮ Quadratic differentials and circle patterns on complex projective tori ⋮ Minimal surfaces from infinitesimal deformations of circle packings ⋮ Discrete constant mean curvature surfaces on general graphs ⋮ A Discrete Extrinsic and Intrinsic Dirac Operator

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• Basic properties of discrete analytic functions
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• COMBINATORIAL YAMABE FLOW ON SURFACES
• Discrete isothermic surfaces.
• Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function
• Discrete Riemann surfaces and the Ising model.

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