Lorentzian area and volume estimates for integral mean curvature bounds
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Publication:2106307
DOI10.1007/978-3-031-05379-5_7OpenAlexW3172814478MaRDI QIDQ2106307
Christina Sormani, Melanie Graf
Publication date: 14 December 2022
Full work available at URL: https://arxiv.org/abs/2106.02319
Length, area, volume, other geometric measure theory (28A75) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Length, area and volume in real or complex geometry (51M25)
Related Items (2)
The null distance encodes causality ⋮ Null distance and Gromov-Hausdorff convergence of warped product spacetimes
Cites Work
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- Smooth convergence away from singular sets
- An extension of the stability theorem of the Minkowski space in general relativity
- The intrinsic flat distance between Riemannian manifolds and other integral current spaces
- Volume comparison for \(\mathcal {C}^{1,1}\)-metrics
- Volumes and limits of manifolds with Ricci curvature and mean curvature bounds
- Rough solutions of the Einstein-vacuum equations
- Friedmann cosmology and almost isotropy
- Volume comparison for hypersurfaces in Lorentzian manifolds and singularity theorems
- Splitting theorems for hypersurfaces in Lorentzian manifolds
- Stability of the spacetime positive mass theorem in spherical symmetry
- Global aspects of the Cauchy problem in general relativity
- The linear stability of the Schwarzschild solution to gravitational perturbations
- Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
- Null distance on a spacetime
- Isoperimetric inequalities under bounded integral norms of Ricci curvature and mean curvature
- The cosmological time function
- Scalar Curvature and Intrinsic Flat Convergence
- Properties of the Null Distance and Spacetime Convergence
- Currents in metric spaces
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