Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems
DOI10.1017/prm.2018.7zbMath1439.53060OpenAlexW2809596127MaRDI QIDQ5108911
Juan A. Aledo, Rafael M. Rubio, Juan Jesús Salamanca
Publication date: 6 May 2020
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2018.7
mean curvatureparabolicityspace-like hypersurfacesLorentzian warped productsCalabi-Bernstein problems
Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (5)
Cites Work
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- Scalar curvature of spacelike hypersurfaces and certain class of cosmological models for accelerated expanding universes
- Some rigidity theorems in semi-Riemannian warped products
- On the rigidity of constant mean curvature complete vertical graphs in warped products
- A nonlinear inequality arising in geometry and Calabi-Bernstein type problems
- Parabolicity of maximal surfaces in Lorentzian product spaces
- Quasi-spherical metrics and prescribed scalar curvature
- On maximal surfaces in certain non-flat 3-dimensional Robertson-Walker spacetimes
- Graphic Bernstein results in curved pseudo-Riemannian manifolds
- Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces
- Isolated maximal surfaces in spacetime
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems
- New examples of Calabi-Bernstein problems for some nonlinear equations.
- On Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime
- Spacelike graphs of finite total curvature in certain 3-dimensional generalized Robertson-Walker spacetime
- On Bernstein-type theorems in semi-Riemannian warped products
- A new approach for uniqueness of complete maximal hypersurfaces in spatially parabolic GRW spacetimes
- Uniqueness of maximal surfaces in generalized Robertson-Walker spacetimes and Calabi-Bernstein type problems
- Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems
- L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
- On the mean curvature of spacelike surfaces in certain three-dimensional Robertson-Walker spacetimes and Calabi-Bernstein's type problems
- Uniqueness of complete maximal hypersurfaces in spatially parabolic generalized Robertson–Walker spacetimes
- Complete spacelike hypersurfaces in a Robertson–Walker spacetime
- Constant mean curvature spacelike hypersurfaces in Lorentzian manifolds with a timelike gradient conformal vector field
- On the uniqueness of the helicoid and Enneper’s surface in the Lorentz-Minkowski space $\mathbb \{R\}\textunderscore \{1\}^\{3\}$
- Applications of Duschek’s formula to cosmology and minimal surfaces
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS
- New proof of the Calabi-Bernstein theorem
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