Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps

DOI10.1215/00192082-9619615zbMath1491.53071OpenAlexW4206637015MaRDI QIDQ2073247

Henrique Fernandes de Lima, Eudes Leite de Lima, Antonio Gervásio Colares

Publication date: 1 February 2022

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/illinois-journal-of-mathematics/volume-65/issue-4/Complete-spacelike-hypersurfaces-with-constant-scalar-curvature-Descriptions-and/10.1215/00192082-9619615.full

zbMATH Keywords

space-like hypersurfacesLorentzian space formsumbilicity tensorOkumura inequalityOmori-Yau maximal principle

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)

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