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gr-qc2022
Timelike Ricci bounds for low regularity spacetimes by optimal transport
Mathias Braun, Matteo Calisti
We prove that a globally hyperbolic smooth spacetime endowed with a -Lorentzian metric whose Ricci tensor is bounded from below in all timelike directions, in…
math-ph2022★ 1 cited
Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions
Mathias Braun
For a Lorentzian space measured by in the sense of Kunzinger, Sämann, Cavalletti, and Mondino, we introduce and study synthetic notions of timelike lower Ricci curva…
math-ph2022★ 1 cited
Good geodesics satisfying the timelike curvature-dimension condition
Mathias Braun
Let be a causally closed, -globally hyperbolic, regular measured Lorentzian geodesic space satisfying the weak timelike curvat…