On the combinatorics of Demoulin transforms and (discrete) projective minimal surfaces

DOI10.1007/s00454-016-9827-xzbMath1361.53013OpenAlexW2531084862MaRDI QIDQ512265

Alan McCarthy, Wolfgang K. Schief

Publication date: 24 February 2017

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://researchonline.nd.edu.au/cgi/viewcontent.cgi?article=1061&context=sci__article

zbMATH Keywords

discrete differential geometryDemoulin transformationLie quadricprojective minimal surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Projective differential geometry (53A20)

Related Items (2)

Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system ⋮ Discrete projective minimal surfaces

Cites Work

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• Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
• Discrete Differential Geometry
• On Weingarten Transformations of Hyperbolic Nets
• LINE CONGRUENCE AND TRANSFORMATION OF PROJECTIVE SURFACES

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