Causally simple spacetimes with continuous Lorentzian metrics on smooth manifolds are infinitesimally Minkowskian.
Nonsmooth d’Alembertian for Lorentz distance functions
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.DG 3verdicts
UNVERDICTED 3representative citing papers
Under the strong energy condition, positive lower bounds on asymptotic volume-expansion invariants imply past timelike geodesic incompleteness with explicit time bound; extends to synthetic TCD^e_p(0,N) length spaces.
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.
citing papers explorer
-
Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics
Causally simple spacetimes with continuous Lorentzian metrics on smooth manifolds are infinitesimally Minkowskian.
-
A singularity theorem in terms of asymptotic expansion
Under the strong energy condition, positive lower bounds on asymptotic volume-expansion invariants imply past timelike geodesic incompleteness with explicit time bound; extends to synthetic TCD^e_p(0,N) length spaces.
-
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.