The equivalence between timelike Ricci curvature and the timelike Brunn Minkowski inequality on synthetic Lorentzian spaces

Osama Farooqui

We introduce the strong $q$-timelike Brunn-Minkowski condition ${\mathsf{sTBM}}_q(K,N)$ on synthetic Lorentzian spaces, for $0<q<1$. We show that, in the timelike $q$-essentially non…