Alessandro Cucinotta

activity

20242026

most citedHalf Space Property in RCD(K,N) spaces

1 citations · 2 across the 9 of their papers we have counts for

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math.DG2025

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 $(M, g)$ forces an isometric splitting. We show that this is the case when $M$ has non…

math.DG2025

On manifolds with almost non-negative Ricci curvature and integrally-positive $k^{t h}$ -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 $k$ eigenvalues of the Ricci tensor. If $(M^n,g)…

On perimeter minimizing sets in manifolds with quadratic volume growth

On manifolds with almost non-negative Ricci curvature and integrally-positive kth-scalar curvature

On manifolds with almost non-negative Ricci curvature and integrally-positive $k^{t h}$ -scalar curvature