On non-degenerate null normal sections of codimension two spacelike surfaces

DOI10.1007/s40840-017-0557-xzbMath1421.53059OpenAlexW2766735819MaRDI QIDQ2317928

Alfonso Romero, Daniel de la Fuente, Francisco J. Palomo

Publication date: 13 August 2019

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/s40840-017-0557-x

zbMATH Keywords

Gauss curvaturespace-like surfaceLorentzian space formsLiebmann theorem

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Rigidity results (53C24)

Cites Work

• Curvature and closed trapped surfaces in 4-dimensional space-times
• Surfaces with parallel normalized mean curvature vector
• Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form.
• New characterizations of compact totally umbilical spacelike surfaces in 4-dimensional Lorentz-Minkowski spacetime through a lightcone
• A new proof of Liebmann classical rigidity theorem for surfaces in space forms
• On spacelike surfaces in four-dimensional Lorentz–Minkowski spacetime through a light cone
• Trapped surfaces and symmetries
• TRAPPED SURFACES
• A congruence theorem for compact spacelike surfaces in de Sitter space
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