552 citations · 2k across the 45 of their papers we have counts for
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math.MG2013★ 63 cited
Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
Nicola Gigli, Andrea Mondino, Giuseppe Savaré
Aim of this paper is to discuss convergence of pointed metric measure spaces in absence of any compactness condition. We propose various definitions, show that all of them are equi…
math.MG2013★ 33 cited
Euclidean spaces as weak tangents of infinitesimally Hilbertian metric spaces with Ricci curvature bounded below
Nicola Gigli, Andrea Mondino, Tapio Rajala
We show that in any infinitesimally Hilbertian -space at almost every point there exists a Euclidean weak tangent, i.e. there exists a sequence of dilations of the space…
math.MG2013★ 125 cited
The splitting theorem in non-smooth context
Nicola Gigli
We prove that an infinitesimally Hilbertian CD(0,N) space containing a line splits as the product of and an infinitesimally Hilbertian CD(0,N-1) space. By `infinitesimally Hilb…