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math.DG2023★ 12 cited
Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries
Luca Rizzi, Giorgio Stefani
We prove that, on any sub-Riemannian manifold endowed with a positive smooth measure, the Bakry-Émery inequality for the corresponding sub-Laplacian implies the existence of enough…
math.DG2018★ 2 cited
Heat and entropy flows in Carnot groups
Luigi Ambrosio, Giorgio Stefani
We prove the correspondence between the solutions of the sub-elliptic heat equation in a Carnot group and the gradient flows of the relative entropy functional in the…