Dupin hypersurfaces with six principal curvatures

DOI10.2996/kmj/1138039098zbMath0711.53049OpenAlexW2040736577MaRDI QIDQ923394

Reiko Naka-Miyaoka

Publication date: 1989

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039098

zbMATH Keywords

Dupin hypersurfaceLie sphere geometryisoparametric hypersurface

Mathematics Subject Classification ID

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

Related Items

Lie-algebraic characterization of tangentially degenerate orbits of \(s\)-representations ⋮ Spacelike Dupin hypersurfaces in Lorentzian space forms ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ A new structural approach to isoparametric hypersurfaces in spheres ⋮ Classifications of Dupin hypersurfaces in Lie sphere geometry ⋮ Isoparametric hypersurfaces with \((g,m)=(6,2)\) ⋮ On the Lie curvature of Dupin hypersurfaces ⋮ Dupin hypersurfaces with four principal curvatures. II.

Cites Work

• Dupin hypersurfaces and a Lie invariant
• Dupin Hypersurfaces