Immersed hypersurfaces in the unit sphere \(S^{m+1}\) with constant Blaschke eigenvalues

DOI10.1007/S10114-005-0919-4zbMath1151.53013OpenAlexW2057848507MaRDI QIDQ884929

Feng Yun Zhang, Xing Xiao Li

Publication date: 7 June 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0919-4

zbMATH Keywords

Möbius formBlaschke tensorBlaschke eigenvalues, Möbius metric, Möbius second fundamental form

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (19)

Complete hypersurfaces with constant Laguerre scalar curvature in \(\mathbb R^n\) ⋮ Space-like Blaschke isoparametric submanifolds in the light-cone of constant scalar curvature ⋮ Regular space-like hypersurfaces in \(\mathbb S^{m+1}_1\) with parallel para-Blaschke tensors ⋮ Blaschke isoparametric hypersurfaces in the conformal space \(\mathbb Q_1^{n+1}\). I ⋮ Conformal isoparametric spacelike hypersurfaces in conformal spaces \(\mathbb Q_1^4\) and \(\mathbb Q^5_1\) ⋮ A complete classification of Blaschke parallel submanifolds with vanishing Möbius form ⋮ On the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues ⋮ Hypersurfaces with isotropic para-Blaschke tensor ⋮ On hypersurfaces with parallel Möbius form and constant para-Blaschke eigenvalues ⋮ A CLASSIFICATION OF HYPERSURFACES WITH PARALLEL PARA-BLASCHKE TENSOR IN S^m+1 ⋮ Hypersurfaces with two distinct para-Blaschke eigenvalues in \(S^{n+1}(1)\) ⋮ On Möbius form and Möbius isoparametric hypersurfaces ⋮ Classification of the Blaschke isoparametric hypersurfaces with three distinct Blaschke eigenvalues ⋮ On Laguerre form and Laguerre isoparametric hypersurfaces ⋮ Equiaffine isoparametric functions and their regular level hypersurfaces ⋮ Classification of Möbius isoparametric hypersurfaces in the unit six-sphere ⋮ On the Blaschke isoparametric hypersurfaces in the unit sphere ⋮ A note on Blaschke isoparametric hypersurfaces ⋮ On submanifolds of the unit sphere with vanishing Möbius form and parallel para-Blaschke tensor

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