4 citations · 11 across the 14 of their papers we have counts for
17 papers
New Topological Restrictions For Spaces With Nonnegative Ricci Curvature
Alessandro Cucinotta, Mattia Magnabosco, Daniele Semola
We obtain new topological restrictions for complete Riemannian manifolds with nonnegative Ricci curvature and RCD(0,n) spaces. Our main results are a Betti number rigidity theorem…
On the rectifiability of and spaces with unique tangents
Mattia Magnabosco, Andrea Mondino, Tommaso Rossi
We prove rectifiability results for and metric measure spaces with pointwise Ahlfors regular reference…
On perimeter minimizing sets in manifolds with quadratic volume growth
Alessandro Cucinotta, Mattia Magnabosco
This paper studies whether the presence of a perimeter minimizing set in a Riemannian manifold forces an isometric splitting. We show that this is the case when has non…
Gradient flows of -convex functions with negative
Lorenzo Dello Schiavo, Mattia Magnabosco, Chiara Rigoni
We discuss -convexity and gradient flows for -convex functionals on metric spaces, in the case of real and negative . In this generality, it is necessary to co…
On the existence of -Optimal Transport maps for norms on
Guoxi Liu, Mattia Magnabosco, Yicheng Xia
In this paper, we prove existence of -optimal transport maps with in a class of branching metric spaces defined on . In particular, we introdu…
Metric conditions that guarantee existence and uniqueness of Optimal Transport maps
Shucheng Li, Mattia Magnabosco, Timo Schultz
We investigate metric conditions that allow to prove existence and uniqueness of a map solving the Monge problem between two marginals in a metric (measure) space, proving two main…