UNIQUENESS OF COMPLETE HYPERSURFACES WITH BOUNDED HIGHER ORDER MEAN CURVATURES IN SEMI-RIEMANNIAN WARPED PRODUCTS

DOI10.1017/S0017089511000541zbMath1242.53065OpenAlexW2324165555WikidataQ115336611 ScholiaQ115336611MaRDI QIDQ3116849

Henrique Fernandes de Lima, Cicero Pedro Aquino

Publication date: 12 February 2012

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

Full work available at URL: https://doi.org/10.1017/s0017089511000541

zbMATH Keywords

maximum principlewarped productspace-like hypersurfacesteady state-type space-times

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) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Rigidity of complete hypersurfaces in warped product spaces via higher order mean curvatures ⋮ On the angle of complete hypersurfaces in semi-Riemannian product spaces ⋮ Unnamed Item ⋮ On the geometry of horospheres ⋮ On Bernstein-type theorems in semi-Riemannian warped products ⋮ Spacelike hypersurfaces with constant \(r\)th mean curvature in steady state type spacetimes

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