A complete classification of Blaschke parallel submanifolds with vanishing Möbius form

DOI10.1007/S11425-016-0174-YzbMath1396.53022OpenAlexW2588704465MaRDI QIDQ1700709

Hong Ru Song, Xing Xiao Li

Publication date: 21 February 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-016-0174-y

zbMATH Keywords

constant scalar curvatureparallel mean curvature vectorparallel Blaschke tensorvanishing Möbius form

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (4)

Space-like Blaschke isoparametric submanifolds in the light-cone of constant scalar curvature ⋮ Unnamed Item ⋮ 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

• Unnamed Item
• Unnamed Item
• Classification of hypersurfaces with constant Möbius curvature in \({\mathbb{S}^{m+1}}\)
• On the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues
• Classification of the Blaschke isoparametric hypersurfaces with three distinct Blaschke eigenvalues
• Immersed hypersurfaces in the unit sphere \(S^{m+1}\) with constant Blaschke eigenvalues
• Möbius isoparametric hypersurfaces with three distinct principal curvatures
• On the Blaschke isoparametric hypersurfaces in the unit sphere
• A characterization of Moebius isoparametric hypersurfaces of the sphere
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Möbius geometry of hypersurfaces with constant mean curvature and scalar curvature
• Surfaces with vanishing Möbius form in \(S^n\).
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
• Regular submanifolds in conformal space \(\mathbb Q_p^n\)
• Classification of hypersurfaces with parallel Möbius second fundamental form in \(S^{n+1}\)
• A classification of immersed hypersurfaces in spheres with parallel Blaschke tensors
• A Möbius characterization of submanifolds in real space forms with parallel mean curvature and constant scalar curvature
• On submanifolds with parallel Möbius second fundamental form in the unit sphere
• A CLASSIFICATION OF HYPERSURFACES WITH PARALLEL PARA-BLASCHKE TENSOR IN S^m+1
• A note on Blaschke isoparametric hypersurfaces

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