Causally simple spacetimes with continuous Lorentzian metrics on smooth manifolds are infinitesimally Minkowskian.
Nonsmooth d’Alembertian for Lorentz distance functions
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Proves diffeomorphic splitting for timelike geodesically complete weighted Finsler spacetimes and isometry generation for Berwald cases via the p-d'Alembertian, generalizing prior Lorentzian results.
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Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics
Causally simple spacetimes with continuous Lorentzian metrics on smooth manifolds are infinitesimally Minkowskian.
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Splitting theorems for weighted Finsler spacetimes via the $p$-d'Alembertian: beyond the Berwald case
Proves diffeomorphic splitting for timelike geodesically complete weighted Finsler spacetimes and isometry generation for Berwald cases via the p-d'Alembertian, generalizing prior Lorentzian results.