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- W4313447778 abstract "In this paper we define the class of constant affine mean curvature (CAMC) discrete asymptotic nets, which contains the well-known classes of affine spheres and affine minimal asymptotic nets. This class is defined by considering fields of compatible interpolating quadrics, i.e., quadrics that have common tangent planes at the edges of the net. We show that, for CAMC asymptotic nets, ruled discrete asymptotic nets is equivalent to ruled compatible interpolating quadrics. Moreover, we prove discrete counterparts of some known properties of the Demoulin transform of a smooth CAMC surface." @default.
- W4313447778 created "2023-01-06" @default.
- W4313447778 creator A5013676295 @default.
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- W4313447778 date "2022-12-30" @default.
- W4313447778 modified "2023-10-18" @default.
- W4313447778 title "Discrete Asymptotic Nets with Constant Affine Mean Curvature" @default.
- W4313447778 doi "https://doi.org/10.48550/arxiv.2212.14868" @default.
- W4313447778 hasPublicationYear "2022" @default.
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