Andrea Malchiodi

collaborators

3 papers

math.DG2026

Decreasing Weyl's energy by connected sums with locally conformally flat manifolds

Andrea Malchiodi, Francesco Malizia

We study the Weyl functional on connected sums of two four-dimensional manifolds $(M, g_{M})$ and $(Z, g_{Z})$ , assuming $g_{M}$ is Bach-flat and $g_{Z}$ locally conformally flat. We show th…

math.DG2025

Min-max theory and Yamabe metrics on conical four-manifolds

Mattia Freguglia, Andrea Malchiodi, Francesco Malizia

We prove existence of Yamabe metrics on four-manifolds possessing finitely-many conical points with $Z_{2}$ -group, using for the first time a min-max scheme in the singular…

math.DG2025

Weyl energy and connected sums of four-manifolds

Andrea Malchiodi, Francesco Malizia

Given two closed, oriented Riemannian four-manifolds $(M, g_{M})$ and $(Z, g_{Z})$ , which are not locally conformally flat and not both self-dual or both anti-self-dual, we prove that th…