A globally hyperbolic Lorentzian length space of the form Σ × R with compact Σ and non-negative timelike curvature splits as a metric Lorentzian product, provided its vertical curves are timelike complete and chronologically related.
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Low regularity approach to Bartnik's conjecture
A globally hyperbolic Lorentzian length space of the form Σ × R with compact Σ and non-negative timelike curvature splits as a metric Lorentzian product, provided its vertical curves are timelike complete and chronologically related.