Hypersurfaces of constant mean extrinsic curvature
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Publication:1157801
DOI10.1016/0003-4916(81)90240-2zbMath0472.53063OpenAlexW1979520488WikidataQ125681158 ScholiaQ125681158MaRDI QIDQ1157801
Publication date: 1981
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0003-4916(81)90240-2
Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
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Cites Work
- On the existence of perturbed Robertson-Walker universes
- The existence of maximal slicings in asymptotically flat spacetimes
- Linear and quasilinear elliptic equations
- Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
- A necessary and sufficient condition for York data to specify an asymptotically flat spacetime
- Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
- The Large Scale Structure of Space-Time
- Asymptotic Symmetries in Gravitational Theory
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