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math.MG2026
Improvement of the dimension bound for unweighted RCD spaces
Camillo Brena, Luca Gennaioli
We show that if is an space for some and , then it is also a (non-collapsed) space. In other words, unw…
math.MG2023
Fine representation of Hessian of convex functions and Ricci tensor on RCD spaces
Camillo Brena, Nicola Gigli
It is known that on spaces one can define a distributional Ricci tensor . Here we give a fine description of this object by showing that it admits the pol…