Dupin hypersurfaces and a Lie invariant

DOI10.2996/kmj/1138039036zbMath0687.53053OpenAlexW1985052947MaRDI QIDQ1263104

Reiko Naka-Miyaoka

Publication date: 1989

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

Full work available at URL: https://semanticscholar.org/paper/8d52ed6de4ec056d27801f30c0231fb52cb4a637

zbMATH Keywords

Dupin hypersurfaceprincipal curvaturesLie transformationsisoparametric hypersurfaceLie curvature

Mathematics Subject Classification ID

Related Items (14)

Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants ⋮ Spacelike Dupin hypersurfaces in Lorentzian space forms ⋮ On Dupin hypersurfaces in \(\mathbb R^{5}\) parametrized by lines of curvature ⋮ Deformations of Dupin Hypersurfaces ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Dupin hypersurfaces with constant Laguerre curvatures ⋮ Classifications of Dupin hypersurfaces in Lie sphere geometry ⋮ Dupin hypersurfaces with six principal curvatures ⋮ On the Lie curvature of Dupin hypersurfaces ⋮ Dupin hypersurfaces with four principal curvatures. II. ⋮ On a class of Dupin hypersurfaces in \(\mathbb R^5\) with nonconstant Lie curvature ⋮ Isoparametric Hypersurfaces with four Principal Curvatures Revisited ⋮ Lie sphere geometry and integrable systems. ⋮ Lie contact structures and normal Cartan connections

Cites Work

• Compact Dupin hypersurfaces with three principal curvatures
• Dupin hypersurfaces
• Tautness and Lie sphere geometry
• Focal sets, taut embeddings and the cyclides of Dupin
• Dupin Hypersurfaces
• WAVE EQUATION AND DUPIN HYPERSURFACE
• Deformations of Dupin Hypersurfaces
• Unnamed Item
• Unnamed Item

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