A coarea inequality holds for Lorentzian Hausdorff measure via diameter-preserving maps on causal pre-length spaces together with a covering lemma under local causal enlargement.
Braun.R´ enyi’s entropy on Lorentzian spaces
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Lorentzian coarea inequality
A coarea inequality holds for Lorentzian Hausdorff measure via diameter-preserving maps on causal pre-length spaces together with a covering lemma under local causal enlargement.