3 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 distan…
math.AP2024
Sharp dispersive estimates for the wave equation on the 5-dimensional lattice graph
Cheng Bi, Jiawei Cheng, Bobo Hua
Schultz \cite{S98} proved dispersive estimates for the wave equation on lattice graphs for which was extended to in \cite{BCH23}. By Newton polyhedra…