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Ollivier-Ricci Curvature for Causal Sets

math.DG · 2026-06-03 · unverdicted · novelty 7.0

Defines Ollivier-Ricci curvature for causal sets using Lorentzian optimal transport, proves local-to-global and Bonnet-Myers results, and validates numerically on sprinkled constant-curvature spacetimes.

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  • Ollivier-Ricci Curvature for Causal Sets math.DG · 2026-06-03 · unverdicted · none · ref 4

    Defines Ollivier-Ricci curvature for causal sets using Lorentzian optimal transport, proves local-to-global and Bonnet-Myers results, and validates numerically on sprinkled constant-curvature spacetimes.

  • $C^0$-inextendibility of a class of warped-product black hole spacetimes math.DG · 2026-06-24 · unverdicted · none · ref 226

    Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.