Discrete projective minimal surfaces

DOI10.1016/j.aim.2018.07.027zbMath1501.53006arXiv1801.08428OpenAlexW2963260220MaRDI QIDQ1790246

Alan McCarthy, Wolfgang K. Schief

Publication date: 2 October 2018

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

Full work available at URL: https://arxiv.org/abs/1801.08428

zbMATH Keywords

envelopediscrete differential geometryLie quadricprojective minimal surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Projective differential geometry (53A20) Polyhedral manifolds (52B70) Discrete differential geometry (53A70)

Cites Work

• On the combinatorics of Demoulin transforms and (discrete) projective minimal surfaces
• Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions
• Surfaces of Demoulin: Differential geometry, Bäcklund transformation and integrability
• Discretization of asymptotic line parametrizations using hyperboloid surface patches
• INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY
• Application of an incidence theorem for conics: Cauchy problem and integrability of the dCKP equation
• Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system
• On Negatons of the Toda Lattice
• Notes on Projective Differential Geometry
• LINE CONGRUENCE AND TRANSFORMATION OF PROJECTIVE SURFACES
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