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math.DG2018
Infinitesimal Hilbertianity of weighted Riemannian manifolds
Danka Lučić, Enrico Pasqualetto
The main result of this paper is the following: any `weighted' Riemannian manifold - i.e. endowed with a generic non-negative Radon measure - is `infinitesimally Hilb…
math.DG2018
The Serre-Swan theorem for normed modules
Danka Lučić, Enrico Pasqualetto
The aim of this note is to analyse the structure of the -normed -modules over a metric measure space. These are a tool that has been introduced by N. Gigli to develop a d…