Hypersurfaces with isotropic para-Blaschke tensor

DOI10.1007/S10114-014-2745-ZzbMath1309.53006OpenAlexW2048731197MaRDI QIDQ477818

Jian Bo Fang, Kun Zhang

Publication date: 10 December 2014

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

Full work available at URL: https://doi.org/10.1007/s10114-014-2745-z

zbMATH Keywords

isotropicMöbius geometrypara-Blaschke tensor

Mathematics Subject Classification ID

Local submanifolds (53B25)

Cites Work

• Hypersurfaces with isotropic Blaschke tensor
• Willmore hypersurfaces in a sphere
• Immersed hypersurfaces in the unit sphere \(S^{m+1}\) with constant Blaschke eigenvalues
• Global rigidity theorems of hypersurfaces
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Submanifolds with constant Möbius scalar curvature in \(S^n\)
• Surfaces with vanishing Möbius form in \(S^n\).
• Möbius isotropic submanifolds in \(\mathbb{S}^n\)
• Willmore submanifolds in a sphere.
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
• Classification of hypersurfaces with two distinct principal curvatures and closed Möbius form in \(\mathbb{S}^{m + 1}\)
• Classification of Möbius Isoparametric Hypersurfaces in ⁴
• A CLASSIFICATION OF HYPERSURFACES WITH PARALLEL PARA-BLASCHKE TENSOR IN S^m+1
• Möbius geometry for hypersurfaces in S⁴
• Hypersurfaces with constant scalar curvature in space forms
• A Moebius characterization of Veronese surfaces in \(S^n\)
• The second variational formula for Willmore submanifolds in \(S^n\).
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