A classification of immersed hypersurfaces in spheres with parallel Blaschke tensors

DOI10.2748/tmj/1170347691zbMath1135.53309OpenAlexW2084530007MaRDI QIDQ2474744

Feng Yun Zhang, Xing Xiao Li

Publication date: 6 March 2008

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1170347691

zbMATH Keywords

constant scalar curvatureMöbius formMöbius metricparallel Blaschke tensorsecond Möbius fundamental form

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (18)

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 ⋮ A complete classification of Blaschke parallel submanifolds with vanishing Möbius form ⋮ Classification of hypersurfaces with constant Laguerre eigenvalues in \(\mathbb R^{n }\) ⋮ 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 ⋮ Spacelike Möbius hypersurfaces in four dimensional Lorentzian space form ⋮ A CLASSIFICATION OF HYPERSURFACES WITH PARALLEL PARA-BLASCHKE TENSOR IN S^m+1 ⋮ Conformal regular spacelike hypersurfaces in a conformal space \(\mathbb {Q}^{n+1}_1\) ⋮ 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 ⋮ On the Blaschke isoparametric hypersurfaces in the unit sphere ⋮ A note on Blaschke isoparametric hypersurfaces ⋮ Classification of the Blaschke Isoparametric Hypersurfaces in Lorentzian Space Forms ⋮ On submanifolds with parallel Möbius second fundamental form in the unit sphere ⋮ On submanifolds of the unit sphere with vanishing Möbius form and parallel para-Blaschke tensor

Cites Work

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• A Möbius characterization of submanifolds in real space forms with parallel mean curvature and constant scalar curvature
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