25 citations · 76 across the 13 of their papers we have counts for
5 papers · 1 filter
Gravity from thermodynamics: optimal transport and negative effective dimensions
G. Bruno De Luca, Nicolò De Ponti, Andrea Mondino +1
We prove an equivalence between the classical equations of motion governing vacuum gravity compactifications (and more general warped-product spacetimes) and a concavity property o…
Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
Davide Barilari, Andrea Mondino, Luca Rizzi
Recent advances in the theory of metric measures spaces on the one hand, and of sub-Riemannian ones on the other hand, suggest the possibility of a "great unification" of Riemannia…
The metric measure boundary of spaces with Ricci curvature bounded below
Elia Bruè, Andrea Mondino, Daniele Semola
We solve a conjecture raised by Kapovitch, Lytchak, and Petrunin by showing that the metric measure boundary is vanishing on any space without boundary. Our result…
A review of Lorentzian synthetic theory of timelike Ricci curvature bounds
Fabio Cavalletti, Andrea Mondino
The scope of this survey is to give a self-contained introduction to synthetic timelike Ricci curvature bounds for (possibly non-smooth) Lorentzian spaces via optimal transport $\&…
Moduli spaces of compact RCD(0,N)-structures
Andrea Mondino, Dimitri Navarro
The goal of the paper is to set the foundations and prove some topological results about moduli spaces of non-smooth metric measure structures with non-negative Ricci curvature in…