2 papers
math.DG2026
Left-invariant metrics on step-two Carnot groups are uniformly doubling
Cheng Bi, Ye Zhang
We prove that the uniform doubling property holds for left-invariant Riemannian metrics on every step-two Carnot group and the sharp uniform doubling constant is , where i…
math.CA2026
Uniform volume estimates and maximal functions on generalized Heisenberg-type groups
Cheng Bi, Hong-Quan Li
On generalized Heisenberg-type groups , we give uniform volume estimates for the ball defined by a large class of Carnot-Carathéodory dista…