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math.MG2025
Optimal transport on the sub-Lorentzian Heisenberg group
Samuël Borza, Wilhelm Klingenberg, Patrick Wood
We investigate the synthetic metric spacetime structure of the sub-Lorentzian Heisenberg group and we study the optimal transport problem in this space. The sub-Lorentzian version…
math.MG2024
Curvature-dimension condition of sub-Riemannian -Grushin half-spaces
Samuël Borza, Kenshiro Tashiro
We provide new examples of sub-Riemannian manifolds with boundary equipped with a smooth measure that satisfy the condition. They are constructed by equipping…