3 citations · 4 across the 6 of their papers we have counts for
4 papers · 1 filter
An optimal transport formulation of the Einstein equations of general relativity
Andrea Mondino, Stefan Suhr
The goal of the paper is to give an optimal transport formulation of the full Einstein equations of general relativity, linking the (Ricci) curvature of a space-time with the cosmo…
Polya-Szego inequality and Dirichlet -spectral gap for non-smooth spaces with Ricci curvature bounded below
Andrea Mondino, Daniele Semola
We study decreasing rearrangements of functions defined on (possibly non-smooth) metric measure spaces with Ricci curvature bounded below by and dimension bounded above by $N…
Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature
Norihisa Ikoma, Andrea Malchiodi, Andrea Mondino
Let be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if is a non-degenerate critical point of the scalar curvature, then a neighbo…
New formulas for the Laplacian of distance functions and applications
Fabio Cavalletti, Andrea Mondino
The goal of the paper is to prove an exact representation formula for the Laplacian of the distance (and more generally for an arbitrary 1-Lipschitz function) in the framework of m…