Dupin Hypersurfaces in ℝ5

DOI10.4153/CJM-2005-052-1zbMath1101.53005OpenAlexW1550317776MaRDI QIDQ3371968

Carlos M. C. Riveros, Keti Tenenblat

Publication date: 22 February 2006

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2005-052-1

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (5)

On Dupin hypersurfaces in \(\mathbb R^{5}\) parametrized by lines of curvature ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Dupin hypersurfaces with constant Laguerre curvatures ⋮ Dupin hypersurfaces with four principal curvatures in \(\mathbb R^{5}\) with principal coordinates ⋮ On a class of Dupin hypersurfaces in \(\mathbb R^5\) with nonconstant Lie curvature

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