1 citations · 2 across the 9 of their papers we have counts for
9 papers
Stability of Synthetic Timelike Ricci Bounds under -Limits and Applications to Impulsive Gravitational Waves
Andrea Mondino, Vanessa Ryborz, Clemens Sämann
We investigate the stability of timelike Ricci curvature lower bounds under low-regularity limits of Lorentzian metrics. Specifically, we prove that the synthetic curvature-dimensi…
Lorentzian Gromov-Hausdorff convergence and pre-compactness
Andrea Mondino, Clemens Sämann
The goal of the paper is to introduce a convergence à la Gromov-Hausdorff for Lorentzian spaces, building on -nets consisting of causal diamonds and relying only on the time sep…
On manifolds with almost non-negative Ricci curvature and integrally-positive -scalar curvature
Alessandro Cucinotta, Andrea Mondino
We consider manifolds with almost non-negative Ricci curvature and strictly positive integral lower bounds on the sum of the lowest eigenvalues of the Ricci tensor. If $(M^n,g)…
Gap phenomena under curvature restrictions
Shouhei Honda, Andrea Mondino
In the paper we discuss gap phenomena of three different types related to Ricci (and sectional) curvature. The first type is about spectral gaps. The second type is about sharp gap…
Principal frequency of clamped plates on RCD(0,N) spaces: sharpness, rigidity and stability
Alexandru Kristály, Andrea Mondino
We study fine properties of the principal frequency of clamped plates in the (possibly singular) setting of metric measure spaces verifying the RCD(0,N) condition, i.e., infinitesi…
A splitting theorem for manifolds with a convex boundary component and applications
Alessandro Cucinotta, Andrea Mondino
We prove a warped product splitting theorem for manifolds with Ricci curvature bounded from below in the spirit of [Croke-Kleiner, \emph{Duke Math.\;J}.\;(1992)], but instead of as…
Poincaré inequality for one forms on four manifolds with bounded Ricci curvature
Shouhei Honda, Andrea Mondino
In this short note, we provide a quantitative global Poincaré inequality for one forms on a closed Riemannian four manifold, in terms of an upper bound on the diameter, a positive…
Half Space Property in RCD(K,N) spaces
Alessandro Cucinotta, Andrea Mondino
The goal of this note is to prove the Half Space Property for RCD(0,N) spaces, namely that if (X,d,m) is a parabolic RCD(0,N) space and is locally…
On the equivalence of distributional and synthetic Ricci curvature lower bounds
Andrea Mondino, Vanessa Ryborz
The goal of the paper is to prove the equivalence of distributional and synthetic Ricci curvature lower bounds for a weighted Riemannian manifold with continuous metric tensor havi…