2 citations · 8 across the 9 of their papers we have counts for
9 papers
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…
Horofunctions on the Heisenberg and Cartan groups
Corentin Bodart, Kenshiro Tashiro
We study the horofunction boundary of finitely generated nilpotent groups, and the natural group action on it. More specifically, we prove the followings results: For discrete Heis…
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…
Collapsed limits of compact Heisenberg manifolds with sub-Riemannian metrics
Kenshiro Tashiro
In this paper, we show that every collapsed Gromov--Hausdorff limit of compact Heisenberg manifolds is isometric to a flat torus. Here we say that a sequence of sub-Riemannian mani…
Mahler type theorem and non-collapsed limits of sub-Riemannian compact Heisenberg manifolds
Kenshiro Tashiro
In this paper, we study a non-collapsed Gromov--Hausdorff limit of a sequence of compact Heisenberg manifolds with sub-Riemannian metrics. In the case of strictly sub-Riemannian ca…
On the speed of convergence to the asymptotic cone for non-singular nilpotent groups
Kenshiro Tashiro
We study the speed of convergence to the asymptotic cone for Cayley graphs of nilpotent groups. Burago showed that converges…