On four dimensional Dupin hypersurfaces in Euclidean space

DOI10.1590/S0001-37652003000100001zbMath1038.53009OpenAlexW2143389297MaRDI QIDQ4706167

Carlos M. C. Riverors, Keti Tenenplat

Publication date: 28 October 2003

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/s0001-37652003000100001

zbMATH Keywords

Dupin hypersurfaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Related Items (1)

On Dupin hypersurfaces in \(\mathbb R^{5}\) parametrized by lines of curvature

Cites Work

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• Compact Dupin hypersurfaces with three principal curvatures
• Dupin hypersurfaces
• Dupin'sche Hyperflächen in \(E^ 4\). (Dupin hypersurfaces in \(E^ 4)\)
• Dupin hypersurfaces with three principal curvatures
• Dupin hypersurfaces in \(\mathbb{R}^ 5\). II
• Periodic systems for the higher-dimensional Laplace transformation
• Multiplicities of Dupin hypersurfaces
• Laplace transformation in higher dimensions
• Dupin hypersurfaces with four principal curvatures
• Dupin Hypersurfaces

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