25 citations · 56 across the 8 of their papers we have counts for
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math.DG2022
Optimal transport between algebraic hypersurfaces
Paolo Antonini, Fabio Cavalletti, Antonio Lerario
What is the optimal way to deform a projective hypersurface into another one? In this paper we will answer this question adopting the point of view of measure theory, introducing t…
math.MG2022★ 5 cited
Rigidities of Isoperimetric inequality under nonnegative Ricci curvature
Fabio Cavalletti, Davide Manini
The sharp isoperimetric inequality for non-compact Riemannian manifolds with non-negative Ricci curvature and Euclidean volume growth has been obtained in increasing generality wit…
math.DG2022★ 25 cited
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 $\&…