Discrete Affine Minimal Surfaces with Indefinite Metric

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dc.creatorCraizer, Marcos
dc.creatorAnciaux, Henri
dc.creatorLewiner, Thomas
dc.date2008-03-10
dc.date2008-04-29
dc.date.accessioned2026-07-07T09:35:27Z
dc.date.available2026-07-07T09:35:27Z
dc.descriptionInspired by the Weierstrass representation of smooth affine minimal surfaces with indefinite metric, we propose a constructive process producing a large class of discrete surfaces that we call discrete affine minimal surfaces. We show that they are critical points of an affine area functional defined on the space of quadrangular discrete surfaces. The construction makes use of asymptotic coordinates and allows defining the discrete analogs of some differential geometric objects, such as the normal and co normal vector fields, the cubic form and the compatibility equations.
dc.description12 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/0803.1506
dc.identifierhttp://arxiv.org/abs/0803.1506
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159834
dc.subjectDifferential Geometry
dc.subject14R99
dc.titleDiscrete Affine Minimal Surfaces with Indefinite Metric
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