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math.DG2026
The measure contraction property on Grushin spaces
Michael Albert, Samuël Borza
We determine the sharp measure contraction exponents of two families of Grushin-type metric measure spaces. The radial Grushin space is $\mathbb{R}^{n}\times\mat…
math.DG2026
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…
math.DG2026
Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group
Samuël Borza, Andrea Pinamonti, Omar Zoghlami
We study constant horizontal mean curvature surfaces in the sub-Lorentzian Heisenberg group. We derive the first-variation formula for horizontal area under volume-preserving radia…