Regular space-like hypersurfaces in \(\mathbb S^{m+1}_1\) with parallel para-Blaschke tensors

DOI10.1007/s10114-017-6208-1zbMath1385.53004arXiv1511.03261OpenAlexW2734969310MaRDI QIDQ1682747

Hong Ru Song, Xing Xiao Li

Publication date: 5 December 2017

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

Full work available at URL: https://arxiv.org/abs/1511.03261

zbMATH Keywords

conformal metricconstant mean curvatureconstant scalar curvatureconformal formconformal second fundamental formparallel para-Blaschke tensor

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25)

Related Items (4)

Space-like Blaschke isoparametric submanifolds in the light-cone of constant scalar curvature ⋮ Spacelike Möbius hypersurfaces in four dimensional Lorentzian space form ⋮ Time-like conformal homogeneous hypersurfaces with three distinct principal curvatures ⋮ On submanifolds of the unit sphere with vanishing Möbius form and parallel para-Blaschke tensor

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Möbius homogeneous hypersurfaces with two distinct principal curvatures in \(S^{n+1}\)
• On the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues
• Immersed hypersurfaces in the unit sphere \(S^{m+1}\) with constant Blaschke eigenvalues
• Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Möbius geometry of hypersurfaces with constant mean curvature and scalar curvature
• Regular submanifolds in conformal space \(\mathbb Q_p^n\)
• Classification of hypersurfaces with two distinct principal curvatures and closed Möbius form in \(\mathbb{S}^{m + 1}\)
• Conformal geometry of hypersurfaces in Lorentz space forms
• Classification of hypersurfaces with parallel Möbius second fundamental form in \(S^{n+1}\)
• Möbius curvature, Laguerre curvature and Dupin hypersurface
• A classification of immersed hypersurfaces in spheres with parallel Blaschke tensors
• The space-like surfaces with vanishing conformal form in the conformal space
• A CLASSIFICATION OF HYPERSURFACES WITH PARALLEL PARA-BLASCHKE TENSOR IN S^m+1
• On the regular space-like hypersurfaces in the de Sitter space ${\mathbb S}^{m+1}_{1}$ with parallel Blaschke tensors
• A note on Blaschke isoparametric hypersurfaces

This page was built for publication: Regular space-like hypersurfaces in \(\mathbb S^{m+1}_1\) with parallel para-Blaschke tensors