Some rigidity theorems in semi-Riemannian warped products

DOI10.2996/kmj/1341401051zbMath1252.53068OpenAlexW2020001238WikidataQ115224350 ScholiaQ115224350MaRDI QIDQ447780

Henrique Fernandes de Lima, Antonio Gervásio Colares

Publication date: 29 August 2012

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1341401051

zbMATH Keywords

space-like hypersurfacesemi-Riemannian manifolds\(r\)-th mean curvaturehyperbolic-type spacesteady state-type spacetimes

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) General relativity (83C99) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Rigidity results (53C24) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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On Bernstein-type properties of complete hypersurfaces in weighted warped products ⋮ Gradient Einstein-type structures immersed into a Riemannian warped product ⋮ Rigidity of complete hypersurfaces in warped product spaces via higher order mean curvatures ⋮ Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs ⋮ Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems ⋮ Unnamed Item ⋮ Uniqueness of entire graphs in Riemannian warped products ⋮ On Bernstein-type theorems in semi-Riemannian warped products ⋮ Complete hypersurfaces immersed in a semi-Riemannian warped product

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