Conformal isoparametric spacelike hypersurfaces in conformal spaces \(\mathbb Q_1^4\) and \(\mathbb Q^5_1\)

DOI10.1007/s11253-012-0668-3zbMath1291.53076OpenAlexW2035425597MaRDI QIDQ1933287

Shichang Shu, Bianping Su

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0668-3

zbMATH Keywords

Minkowski spacede Sitter spaceLorentzian space formspace-like hypersurfaceisoparametric hypersurfaceLorentz sphere

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (1)

Conformal regular spacelike hypersurfaces in a conformal space \(\mathbb {Q}^{n+1}_1\)

Cites Work

• Space-like isoparametric hypersurfaces in Lorentzian space forms
• 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 isotropic submanifolds in \(\mathbb{S}^n\)
• Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
• A Möbius characterization of submanifolds
• Classification of Möbius isoparametric hypersurfaces in \({\mathbb S}^5\)
• Classification of Möbius Isoparametric Hypersurfaces in ⁴
• A conformal differential invariant and the conformal rigidity of hypersurfaces
• A Moebius characterization of Veronese surfaces in \(S^n\)
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