Complete spacelike hypersurfaces in the anti-de Sitter space: rigidity, nonexistence and curvature estimates
DOI10.4064/cm8502-12-2021zbMath1504.53074OpenAlexW4285119637MaRDI QIDQ5039341
Weiller F. C. Barboza, Marco Antonio L. Velásquez, Henrique Fernandes de Lima, Arlandson Matheus Silva Oliveira
Publication date: 12 October 2022
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm8502-12-2021
anti-de Sitter spacehigher-order mean curvaturestotally umbilical hypersurfacescomplete space-like hypersurfacesindex of nullity\(r\)-maximal hypersurfaces
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
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