8 citations · 8 across the 4 of their papers we have counts for
4 papers
Ollivier-Ricci curvature for causal sets
Joe Barton, Samuël Borza, Jona Röhrig
We introduce a novel notion of Ollivier-Ricci curvature for causal sets using Lorentzian optimal transport. The construction is motivated by a new Lorentzian asymptotic formula of…
Space of Timelike Directions and Curvature Bounds
Joe Barton, Jona Röhrig
We investigate the consequences of timelike sectional curvature bounds in Lorentzian length spaces for the existence and structure of the space of directions at a point. It is esta…
A Splitting Theorem for non-positively curved Lorentzian spaces
Joe Barton, Tobias Beran, Mauricio Che +3
We prove a splitting theorem for Lorentzian pre-length spaces with global non-positive timelike curvature. Additionally, we extend the first variation formula to spaces with any ti…
Yang-Mills solutions on Minkowski space via non-compact coset spaces
Kaushlendra Kumar, Olaf Lechtenfeld, Gabriel Picanço Costa +1
We find a two-parameter family of solutions of the Yang-Mills equations for gauge group SO(1,3) on Minkowski space by foliating different parts of it with non-compact coset spaces…