Complete maximal hypersurfaces in certain spatially open generalized Robertson-Walker spacetimes

DOI10.1007/s13398-014-0195-1zbMath1326.53083OpenAlexW2021849843WikidataQ125292676 ScholiaQ125292676MaRDI QIDQ496383

Rafael M. Rubio, Alfonso Romero, Juan Jesús Salamanca

Publication date: 21 September 2015

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-014-0195-1

zbMATH Keywords

maximum principlegeneralized Robertson-Walker spacetimemaximal hypersurface

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (6)

Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs ⋮ Uniqueness of complete maximal hypersurfaces in spatially open \((n+1)\)-dimensional Robertson-Walker spacetimes with flat fiber ⋮ Stability of maximal hypersurfaces in spacetimes: new general conditions and application to relevant spacetimes ⋮ Calabi-Bernstein type results for complete constant mean curvature spacelike hypersurfaces in spatially open generalized Robertson-Walker spacetimes ⋮ Compact maximal hypersurfaces in globally hyperbolic spacetimes ⋮ Constant mean curvature spacelike hypersurfaces in spatially Open GRW spacetimes

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