\(L_1\)-\(2\)-type surfaces in 3-dimensional de Sitter and anti de Sitter spaces

DOI10.1007/s40840-023-01535-wzbMath1529.53063OpenAlexW4380684674MaRDI QIDQ6173906

Pascual Lucas, S. Carolina García-Martínez, Hector Fabián Ramírez-Ospina

Publication date: 13 July 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-023-01535-w

zbMATH Keywords

de Sitter spaceanti-de Sitter spaceNewton transformationB-scrollCheng-Yau operator

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Hypersurfaces in non-flat Lorentzian space forms satisfying \(L_k \psi = a\psi + b\)
• Hypersurfaces in the Lorentz-Minkowski space satisfying \(L_{k} \psi = A\psi + b\)
• Space-like isoparametric hypersurfaces in Lorentzian space forms
• Isometric immersions of Lorentz space with parallel second fundamental forms
• Lorentzian isoparametric hypersurfaces in \(H_1^{n+1}\)
• Hypersurfaces with constant scalar curvature
• 2-type surfaces in \(S_ 1^ 3\) and \(H_ 1^ 3\)
• Surfaces in \(\mathbb{S}^3\) of \(L_1\)-2-type
• Codimension One Isometric Immersions Between Lorentz Spaces
• On spectral decomposition of immersions of finite type
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