Osama Farooqui

collaborators

3 papers

math.AP2026

A new proof of equality cases of the Brunn-Minkowski inequality on manifolds

Osama Farooqui

We give a new proof of equality cases of the Brunn-Minkowski inequality on manifolds, following the work of Balogh-Krisátly. Our proof extends also to equality cases of the strong…

math.DG2026

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 $sTBM_{q} (K, N)$ on synthetic Lorentzian spaces, for $0 < q < 1$ . We show that, in the timelike $q$ -essentially non…

math.MG2025

Equivalence between the timelike Brunn-Minkowski inequality and timelike Bakry-Émery-Ricci lower bound on weighted globally hyperbolic spacetimes

Osama Farooqui

We prove the timelike Brunn-Minkowski inequality $TBM (K, N)$ implies a timelike lower bound on the Bakry-Émery-Ricci curvature on weighted globally hyperbolic spacetimes. T…