S. Borza

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math.MG2025

Curvature-dimension condition of sub-Riemannian $I^\pm$ -Grushin half-spaces

SamuÃ«l Borza, Kenshiro Tashiro

We provide new examples of sub-Riemannian manifolds with boundary equipped with a smooth measure that satisfy the $RCD (K, N)$ condition. They are constructed by equipping…

math.MG2025

Curvature exponent of sub-Finsler Heisenberg groups

SamuÃ«l Borza, Mattia Magnabosco, Tommaso Rossi +1

The curvature exponent $N_{curv}$ of a metric measure space is the smallest number $N$ for which the measure contraction property $MCP (0, N)$ holds. In this paper,…

math.MG2025

Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler $ℓ^{p}$ -Heisenberg groups

SamuÃ«l Borza, Kenshiro Tashiro

We initiate the study of synthetic curvature-dimension bounds in sub-Finsler geometry. More specifically, we investigate the measure contraction property $MCP (K, N)$ , and…

math.MG2025

Optimal transport on the sub-Lorentzian Heisenberg group

SamuÃ«l 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…

Curvature-dimension condition of sub-Riemannian I^±-Grushin half-spaces

Curvature exponent of sub-Finsler Heisenberg groups

Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler ℓp-Heisenberg groups

Optimal transport on the sub-Lorentzian Heisenberg group

Curvature-dimension condition of sub-Riemannian $I^\pm$ -Grushin half-spaces

Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler $ℓ^{p}$ -Heisenberg groups