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Almost-splitting of spacetimes under timelike sectional curvature bounds

Gigli, Nicola et al.
arXiv (All) · Papers
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53c50differential-geometrygeneral-relativity-and-quantum-cosmologymetric-geometry
We establish an almost-splitting theorem for spacetimes under timelike sectional curvature bounds in the spirit of the celebrated Riemannian result due to Cheeger and Colding. More concretely, we show that if a globally hyperbolic spacetime with timelike sectional curvature bounded below by a nonpos
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