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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2 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Classification of boost-symmetric CMC surfaces in the sub-Lorentzian Heisenberg group yields a family of smooth acausal surfaces conjectured to be isoperimetric maximizers.
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Ollivier-Ricci Curvature for Causal Sets
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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Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group
Classification of boost-symmetric CMC surfaces in the sub-Lorentzian Heisenberg group yields a family of smooth acausal surfaces conjectured to be isoperimetric maximizers.