Camillo Brena

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20212026

most citedWeakly non-collapsed RCD spaces are strongly non-collapsed

5 citations · 12 across the 19 of their papers we have counts for

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math.MG2026

Improvement of the dimension bound for unweighted RCD spaces

Camillo Brena, Luca Gennaioli

We show that if $(X, d, H^{n})$ is an $R C D (K, N)$ space for some $K \in R$ and $N \in [1, \infty)$ , then it is also a (non-collapsed) $R C D (K, n)$ space. In other words, unw…

math.DG2026

Ollivier--Ricci Curvature on Groups of Polynomial Growth

Camillo Brena, Elia Bruè

We study Ollivier--Ricci curvature on Cayley graphs of groups of polynomial growth. Our main result shows that non-negative Ollivier--Ricci curvature forces the group to be virtual…