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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.MG2011★ 288 cited

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré

This paper is devoted to a deeper understanding of the heat flow and to the refinement of calculus tools on metric measure spaces (X,d,m). Our main results are: - A general study o…