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Dupin hypersurfaces in \({\mathbb{R}}^ 5\). I

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Publication:809378
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DOI10.1007/BF00181647zbMath0733.53031MaRDI QIDQ809378

Ross Niebergall

Publication date: 1991

Published in: Geometriae Dedicata (Search for Journal in Brave)


zbMATH Keywords

Dupin hypersurfacesdiffeomorphism typestaut hypersurfaces


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)


Related Items

Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants ⋮ Classification of Möbius isoparametric hypersurfaces in \({\mathbb S}^5\) ⋮ On Dupin hypersurfaces in \(\mathbb R^{5}\) parametrized by lines of curvature ⋮ Homogeneous surfaces in Lie sphere geometry ⋮ Classifications of Dupin hypersurfaces in Lie sphere geometry ⋮ 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 ⋮ Classification of Möbius isoparametric hypersurfaces in the unit six-sphere



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