Geometric obstructions to Lipschitz transport between weighted Hessian $\mathrm{CD}(\kappa ,\infty )$ manifolds

William Dudarov, Dan Mikulincer

We construct a weighted Riemannian manifold $({\mathbb{R}}^2,g,\mu )$ satisfying $\mathrm{CD}(1/2,\infty )$, the curvature-dimension condition, with the following property: if $\gamma$ denotes…