A characterization of Moebius isoparametric hypersurfaces of the sphere
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Publication:1034732
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
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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
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