Dupin hypersurfaces with four principal curvatures

DOI10.1023/A:1005008224753zbMath0965.53039OpenAlexW4233781151MaRDI QIDQ1971728

Gary R. Jensen, Thomas E. Cecil

Publication date: 15 July 2001

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

Full work available at URL: https://doi.org/10.1023/a:1005008224753

zbMATH Keywords

Legendre submanifoldDupin hypersurfaceLie sphere geometryisoparametric hypersurfaceLie curvatureDupin submanifoldcurvature sphere

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Projective differential geometry (53A20)

Related Items (10)

Classification of Möbius isoparametric hypersurfaces in \({\mathbb S}^5\) ⋮ Spacelike Dupin hypersurfaces in Lorentzian space forms ⋮ On Dupin hypersurfaces in \(\mathbb R^{5}\) parametrized by lines of curvature ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Classifications of Dupin hypersurfaces in Lie sphere geometry ⋮ Dupin hypersurfaces with four principal curvatures in \(\mathbb R^{5}\) with principal coordinates ⋮ Dupin hypersurfaces with four principal curvatures. II. ⋮ On a class of Dupin hypersurfaces in \(\mathbb R^5\) with nonconstant Lie curvature ⋮ Classification of Möbius isoparametric hypersurfaces in the unit six-sphere ⋮ On four dimensional Dupin hypersurfaces in Euclidean space

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