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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…
math.MG2024
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,…
math.MG2024★ 2 cited
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…