Fabio Cavalletti

activity

20112024

most citedSharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

96 citations · 386 across the 22 of their papers we have counts for

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Showing 2013 · math.MGShow all

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math.MG2013

Monge problem in metric measure spaces with Riemannian curvature-dimension condition

Fabio Cavalletti

We prove the existence of solutions for the Monge minimization problem, addressed in a metric measure space $(X, d, m)$ enjoying the Riemannian curvature-dimension condition $\RCD(K,…

math.MG2013

Existence and uniqueness of optimal transport maps

Fabio Cavalletti, Martin Huesmann

Let $(X, d, m)$ be a proper, non-branching, metric measure space. We show existence and uniqueness of optimal transport maps for cost written as non-decreasing and strictly convex fu…