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20102023
most citedMetric measure spaces with Riemannian Ricci curvature bounded from below

552 citations · 2k across the 45 of their papers we have counts for

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math.AP2011★ 234 cited

Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré

We compare several notion of weak (modulus of) gradient in metric measure spaces. Using tools from optimal transportation theory we prove density in energy of Lipschitz maps indepe…