Space-like isoparametric hypersurfaces in Lorentzian space forms

DOI10.1007/s11464-005-0026-yzbMath1222.53072OpenAlexW1596528476MaRDI QIDQ719992

Xian-Hua Xie, Zhen-Qi Li

Publication date: 13 October 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-005-0026-y

zbMATH Keywords

Lorentzian space formisoparametric hypersurfacespace-like hypersurfaces

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25)

Related Items (12)

Spacelike Dupin hypersurfaces in Lorentzian space forms ⋮ Spacelike isoparametric hypersurfaces ⋮ Conformal isoparametric spacelike hypersurfaces in conformal spaces \(\mathbb Q_1^4\) and \(\mathbb Q^5_1\) ⋮ \(L_1\)-\(2\)-type surfaces in 3-dimensional de Sitter and anti de Sitter spaces ⋮ Unnamed Item ⋮ Timelike hypersurfaces in the standard Lorentzian space forms satisfying \({L_kx=ax+b}\) ⋮ Conformal homogeneous spacelike surfaces in 3-dimensional Lorentz space forms ⋮ Conformal regular spacelike hypersurfaces in a conformal space \(\mathbb {Q}^{n+1}_1\) ⋮ Null screen isoparametric hypersurfaces in Lorentzian space forms ⋮ Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space ⋮ Unnamed Item ⋮ Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space

Cites Work

• Familles de surfaces isoparametriques dans les espaces à courbure constante
• Unnamed Item

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