552 citations · 2k across the 45 of their papers we have counts for
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math.DG2015★ 5 cited
From volume cone to metric cone in the nonsmooth setting
Nicola Gigli, Guido de Philippis
We prove that `volume cone implies metric cone' in the setting of RCD spaces, thus generalising to this class of spaces a well known result of Cheeger-Colding valid in Ricci-limit…
math.FA2015★ 15 cited
Sobolev spaces on warped products
Nicola Gigli, Bang-Xian Han
We study the structure of Sobolev spaces on the cartesian/warped products of a given metric measure space and an interval. Our main results are: - the characterization of the Sobol…