552 citations · 2k across the 45 of their papers we have counts for
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math.DG2016★ 4 cited
Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces
Nicola Gigli, Enrico Pasqualetto
We prove that for a suitable class of metric measure spaces, the abstract notion of tangent module as defined by the first author can be isometrically identified with the space of…
math.DG2016★ 27 cited
Behaviour of the reference measure on spaces under charts
Nicola Gigli, Enrico Pasqualetto
Mondino and Naber recently proved that finite dimensional spaces are rectifiable. Here we show that the push-forward of the reference measure under the charts built by th…
math.MG2016
Perimeter as relaxed Minkowski content in metric measure spaces
Luigi Ambrosio, Nicola Gigli, Simone Di Marino
In this note we prove that on general metric measure spaces the perimeter is equal to the relaxation of the Minkowski content w.r.t.\ convergence in measure