Dupin hypersurfaces with three principal curvatures

DOI10.1007/s002220050220zbMath0908.53007OpenAlexW2035267725MaRDI QIDQ1127763

Thomas E. Cecil, Gary R. Jensen

Publication date: 10 March 1999

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050220

zbMATH Keywords

irreducibilityLie sphere geometryDupin hypersurfaces

Mathematics Subject Classification ID

Local submanifolds (53B25) Other special differential geometries (53A40)

Related Items (13)

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 ⋮ 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 the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues ⋮ Dupin hypersurfaces with four principal curvatures. II. ⋮ Submanifolds with parallel Möbius second fundamental form in the unit sphere ⋮ 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 ⋮ Hypersurfaces in space forms satisfying some generalized Einstein metric condition

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