On the semidiscrete differential geometry of A-surfaces and K-surfaces

DOI10.1007/s00022-012-0108-4zbMath1257.53007OpenAlexW2064849793WikidataQ115390005 ScholiaQ115390005MaRDI QIDQ1928595

Johannes Wallner

Publication date: 3 January 2013

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-012-0108-4

zbMATH Keywords

pseudospheresemidiscrete surfaceasymptotic surfaceK-surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Polyhedral manifolds (52B70)

Related Items (7)

Variational Laplacians for semidiscrete surfaces ⋮ Smooth surfaces from bilinear patches: discrete affine minimal surfaces ⋮ Smooth surfaces from rational bilinear patches ⋮ On offsets and curvatures for discrete and semidiscrete surfaces ⋮ Gaussian and mean curvatures for discrete asymptotic nets ⋮ On semidiscrete constant mean curvature surfaces and their associated families ⋮ Finite and infinitesimal flexibility of semidiscrete surfaces

Cites Work

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• The focal geometry of circular and conical meshes
• Discrete surfaces with constant negative Gaussian curvature and the Hirota equation.
• Parallelogrammgitter als Modelle pseudosphärischer Flächen
• On organizing principles of discrete differential geometry. Geometry of spheres
• Nonlinear hyperbolic equations in surface theory: Integrable discretizations and approximation results

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