On maximal geodesic-diameter and causality in Lorentz manifolds

DOI10.1007/BF01455452zbMath0486.53045OpenAlexW1966437946MaRDI QIDQ1164868

Steven (Stacey) G. Harris

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182884

zbMATH Keywords

globally hyperboliccausality structurecomplete timelike geodesicToponogov's maximal diameter theorem

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (6)

Some connections between global hyperbolicity and geodesic completeness ⋮ Curvature, causality and completeness in space-times with causally complete spacelike slices ⋮ Hausdorff closed limits and rigidity in Lorentzian geometry ⋮ Comparison theory in Lorentzian and Riemannian geometry ⋮ Rigidity in vacuum under conformal symmetry ⋮ Remarks on the existence of CMC Cauchy surfaces

Cites Work

• A Morse theory for geodesics on a Lorentz manifold
• The Large Scale Structure of Space-Time
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