Area maximizing surfaces in Lorentzian spaces
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Publication:2024724
DOI10.1007/s00009-021-01728-2zbMath1466.53068OpenAlexW3139225501MaRDI QIDQ2024724
Rafael M. Rubio, José A. S. Pelegrín, Magdalena Caballero
Publication date: 4 May 2021
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-021-01728-2
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Boundary value problems on manifolds (58J32) Non-Euclidean differential geometry (53A35)
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Cites Work
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- Spacelike hypersurfaces with prescribed boundary values and mean curvature
- Stable minimal surfaces and spatial topology in general relativity
- Isolated maximal surfaces in spacetime
- Maximal hypersurfaces in stationary asymptotically flat spacetimes
- Calabi-Bernstein-type problems in Lorentzian geometry
- Stable maximal hypersurfaces in Lorentzian spacetimes
- Stability of maximal hypersurfaces in spacetimes: new general conditions and application to relevant spacetimes
- New examples of static spacetimes admitting a unique standard decomposition
- Spacelike hypersurfaces in spatially parabolic standard static spacetimes and Calabi-Bernstein-type problems
- A note on the existence of standard splittings for conformally stationary spacetimes
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Conformally stationary spacetimes
- Applications of Duschek’s formula to cosmology and minimal surfaces
- General Relativity for Mathematicians
- Lorentzian manifolds admitting a killing vector field
- Stable minimal surfaces
- The existence and uniqueness of standard static splitting
- Constant Mean Curvature Surfaces with Boundary
- A note on the uniqueness of global static decompositions
- Geometric Analysis
- General Relativity
