Möbius isoparametric hypersurfaces with three distinct principal curvatures

DOI10.2140/PJM.2007.232.289zbMath1154.53011OpenAlexW2027594107MaRDI QIDQ952999

Deying Li, Ze-Jun Hu

Publication date: 14 November 2008

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2007.232.289

zbMATH Keywords

Möbius formMöbius metricMöbius equivalenceMöbius second fundamental formMöbius isoparametric hypersurface

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (14)

PARA-BLASCHKE ISOPARAMETRIC HYPERSURFACES IN A UNIT SPHERE S^{n + 1}(1) ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Möbius homogeneous hypersurfaces with two distinct principal curvatures in \(S^{n+1}\) ⋮ A complete classification of Blaschke parallel submanifolds with vanishing Möbius form ⋮ Deformation of hypersurfaces preserving the Möbius metric and a reduction theorem ⋮ On the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues ⋮ On hypersurfaces with parallel Möbius form and constant para-Blaschke eigenvalues ⋮ A CLASSIFICATION OF HYPERSURFACES WITH PARALLEL PARA-BLASCHKE TENSOR IN S^m+1 ⋮ Submanifolds with parallel Möbius second fundamental form in the unit sphere ⋮ On Möbius form and Möbius isoparametric hypersurfaces ⋮ Classification of the Blaschke isoparametric hypersurfaces with three distinct Blaschke eigenvalues ⋮ Classification of Möbius isoparametric hypersurfaces in the unit six-sphere ⋮ A note on Blaschke isoparametric hypersurfaces ⋮ On submanifolds with parallel Möbius second fundamental form in the unit sphere

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