Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems

DOI10.1016/j.na.2014.04.010zbMath1290.53061arXiv1401.7687OpenAlexW2963544470MaRDI QIDQ2451912

Rafael M. Rubio, Juan A. Aledo, Alfonso Romero

Publication date: 27 May 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7687

zbMATH Keywords

Calabi-Bernstein problemparabolicityLorentzian warped productsconstant mean curvature space-like hypersurfacesuniformly elliptic EDPs

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)

Related Items (16)

Constant mean curvature spacelike surfaces in Lorentzian warped products ⋮ Uniqueness of spacelike hypersurfaces in a GRW spacetime via higher order mean curvatures ⋮ Rigidity of parabolic and stable spacelike hypersurfaces in a generalized Robertson-Walker spacetime ⋮ Rigidity of mean curvature flow solitons and uniqueness of solutions of the mean curvature flow soliton equation in certain warped products ⋮ A new Calabi-Bernstein type result in spatially closed generalized Robertson-Walker spacetimes ⋮ Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems ⋮ On the scalar curvature of spacelike hypersurfaces in generalized Robertson Walker spacetimes ⋮ ON THE EXISTENCE OF -MAXIMAL SPACELIKE HYPERSURFACES IN CERTAIN WEIGHTED MANIFOLDS ⋮ Unnamed Item ⋮ Complete spacelike hypersurfaces in generalized Robertson-Walker and the null convergence condition: Calabi-Bernstein problems ⋮ On entire \(f\)-maximal graphs in the Lorentzian product \(\mathbb{G}^n \times \mathbb{R}_1\) ⋮ Uniqueness of complete hypersurfaces in weighted Riemannian warped products ⋮ 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 ⋮ Unnamed Item

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