Hausdorff closed limits and rigidity in Lorentzian geometry

DOI10.1007/s00023-017-0594-xzbMath1377.83005arXiv1608.06353OpenAlexW2517570160MaRDI QIDQ1675057

Peng Zhang

Publication date: 26 October 2017

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06353

zbMATH Keywords

rigidityLorentzian geometrycausal boundaryCauchy horospheresachronal limitsBartnik splittingHausdorff closed limitsLorentzian horosphere

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (7)

Existence of CMC Cauchy surfaces from a spacetime curvature condition ⋮ Omniscient foliations and the geometry of cosmological spacetimes ⋮ Hausdorff closed limits and the c-boundary I: a new topology for the c-completion of spacetimes ⋮ Rigidity in vacuum under conformal symmetry ⋮ Some remarks on conformal symmetries and Bartnik's splitting conjecture ⋮ Cosmological singularities from high matter density without global topological assumptions ⋮ Remarks on the existence of CMC Cauchy surfaces

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