Universal non-CD of sub-Riemannian manifolds

Dimitri Navarro, Jiayin Pan

We prove that a sub-Riemannian manifold equipped with a full-support Radon measure is never $\mathrm{CD}(K,N)$ for any $K\in \mathbb{R}$ and $N\in (1,\infty )$ unless it is Riemanni…