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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.FA2019

Quasi-continuous vector fields on RCD spaces

Clément Debin, Nicola Gigli, Enrico Pasqualetto

In the existing language for tensor calculus on RCD spaces, tensor fields are only defined m-a.e.. In this paper we introduce the concept of tensor field defined `2-capacity-a.e.'…

math.FA2019

Korevaar-Schoen's directional energy and Ambrosio's regular Lagrangian flows

Nicola Gigli, Alexander Tyulenev

We develop Korevaar-Schoen's theory of directional energies for metric-valued Sobolev maps in the case of source spaces; to do so we crucially rely on Ambrosio's concep…