2 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume
Kenshiro Tashiro
In this paper, we give a systolic inequality for a quotient space of a Carnot group with Popp's volume. Namely we show the existence of a positive constant such…