A characterization of Moebius isoparametric hypersurfaces of the sphere

DOI10.1007/s00605-008-0086-7zbMath1190.53008OpenAlexW2009598464MaRDI QIDQ1034732

Luciana Ávila Rodrigues, Keti Tenenblat

Publication date: 6 November 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0086-7

zbMATH Keywords

Dupin hypersurfacesMöbius isoparametric hypersurfaces

Mathematics Subject Classification ID

Related Items (7)

On Dupin hypersurfaces in \(\mathbb R^{5}\) parametrized by lines of curvature ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Dupin hypersurfaces with constant Laguerre curvatures ⋮ A complete classification of Blaschke parallel submanifolds with vanishing Möbius form ⋮ A characterization of Laguerre isoparametric hypersurfaces of the Euclidian space ⋮ On a class of Dupin hypersurfaces in \(\mathbb R^5\) with nonconstant Lie curvature ⋮ Equiaffine isoparametric functions and their regular level hypersurfaces

Cites Work

• Dupin hypersurfaces
• On Dupin hypersurfaces with constant Möbius curvature
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
• Classification of Möbius isoparametric hypersurfaces in \({\mathbb S}^5\)
• Classification of Möbius Isoparametric Hypersurfaces in ⁴
• Lie sphere geometry. With applications to submanifolds

This page was built for publication: A characterization of Moebius isoparametric hypersurfaces of the sphere