Affine Dupin Surfaces

DOI10.1090/S0002-9947-96-01458-4zbMath0860.53008OpenAlexW1776436775MaRDI QIDQ4889953

Ross Niebergall, Patrick J. Ryan

Publication date: 20 April 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01458-4

zbMATH Keywords

planar lines of curvatureaffine Dupin surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25) Affine differential geometry (53A15)

Related Items (2)

The quadratic slice theorem and the equiaffine tube theorem for equiaffine Dupin hypersurfaces ⋮ Blaschke Dupin hypersurfaces and equiaffine tubes

Cites Work

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• Flat affine spheres in \(R^ 3\)
• Affine surfaces with constant affine curvatures
• A new model of unimodular-affinely homogeneous surfaces
• Affine isoparametric hypersurfaces
• Lie sphere geometry. With applications to submanifolds

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