Accepted Paper

Inserted: 20 aug 2025
Last Updated: 20 aug 2025

Journal: Transactions of the London Mathematical Society
Year: 2024

Abstract:

We provide new examples of sub-Riemannian manifolds with boundary equipped with a smooth measure that satisfy the $\mathsf{RCD}(K , N)$ condition. They are constructed by equipping the half-plane, the hemisphere and the hyperbolic half-plane with a two-dimensional almost-Riemannian structure and a measure that vanishes on their boundary. The construction of these spaces is inspired from the geometry of the $\alpha$-Grushin plane.