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Asymptotic Nets and Discrete Affine Surf...
Craizer, Marcos...
Asymptotic Nets and Discrete Affine Surfaces with Indefinite Metric by Craizer, Marcos ( Author )
Australian National University
01-08-2023
Asymptotic net is an important concept in discrete differential geometry. In this paper, we show that we can associate affine discrete geometric concepts to an arbitrary non-degenerate asymptotic net. These concepts include discrete affine area, mean curvature, normal and co-normal vector fields and cubic form, and they are related by structural and compatibility equations. We consider also the particular cases of affine minimal surfaces and affine spheres.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/0805.2060
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