Complete spacelike hypersurfaces immersed in pp-wave spacetimes

DOI10.1007/s10714-020-02692-0zbMath1443.53036OpenAlexW3018658080MaRDI QIDQ776758

Marco Antonio L. Velásquez, Henrique Fernandes de Lima

Publication date: 13 July 2020

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10714-020-02692-0

zbMATH Keywords

mean curvaturecomplete space-like hypersurfacespp-wave spacetimesstable closed space-like hypersurfacesuniqueness and nonexistence results

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (4)

Spacelike mean curvature flow solitons, polynomial volume growth and stochastic completeness of spacelike hypersurfaces immersed into pp-wave spacetimes ⋮ On the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimes ⋮ Mean curvature of spacelike submanifolds in a Brinkmann spacetime ⋮ Rigidity results for complete spacelike submanifolds in plane fronted waves

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