3 papers
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.GR2024
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…
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,…