4 citations · 13 across the 15 of their papers we have counts for
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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…
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…
Curvature exponent of sub-Finsler Heisenberg groups
Samuël Borza, Mattia Magnabosco, Tommaso Rossi +1
The curvature exponent of a metric measure space is the smallest number for which the measure contraction property holds. In this paper,…
Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups
Samuël Borza, Mattia Magnabosco, Tommaso Rossi +1
In this paper, we investigate the validity of synthetic curvature-dimension bounds in the sub-Finsler Heisenberg group, equipped with a positive smooth measure. Firstly, we study t…
Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler -Heisenberg groups
Samuël Borza, Kenshiro Tashiro
We initiate the study of synthetic curvature-dimension bounds in sub-Finsler geometry. More specifically, we investigate the measure contraction property , and…
Distortion coefficients of the -Grushin plane
Samuël Borza
We compute the distortion coefficients of the -Grushin plane. They are expressed in terms of generalised trigonometric functions. Estimates for the distortion coefficients are t…