scientific article; zbMATH DE number 1116696
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Publication:4376384
zbMath0901.53047MaRDI QIDQ4376384
Publication date: 11 March 1998
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maximum principlerigiditymean curvaturesplittinghypersurfacesenergy conditionspace-timesCauchy surfacegeodesic completeness
Space-time singularities, cosmic censorship, etc. (83C75) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
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Bartnik’s splitting conjecture and Lorentzian Busemann function ⋮ Hausdorff closed limits and rigidity in Lorentzian geometry ⋮ Omniscient foliations and the geometry of cosmological spacetimes ⋮ Achronal limits, Lorentzian spheres, and splitting ⋮ The Riemannian and Lorentzian Splitting Theorems ⋮ Mathematical general relativity ⋮ Rigidity in vacuum under conformal symmetry ⋮ Some results about the level sets of Lorentzian Busemann function and Bartnik's conjecture ⋮ Some remarks on conformal symmetries and Bartnik's splitting conjecture ⋮ A rigid singularity theorem for spacetimes admitting irrotational reference frames
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