2 papers
math.DG2026
A two-step ideal sub-Riemannian structure with no measure contraction properties
Luca Rizzi, Ye Zhang
We construct a compact, equiregular, ideal sub-Riemannian manifold of step such that, for every smooth positive measure, the fails for all …
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…