3 papers
math.DG2026
A Local Singularity Analysis for the Ricci Flow and its Applications to Ricci Flows with Bounded Scalar Curvature -- Part II
Reto Buzano, Gianmichele Di Matteo
We continue our local singularity analysis for Ricci flow initiated in ArXiv:2006.16227. Building on that framework, we study Type I singular points in general Ricci flows, without…
math.DG2021
Double Bubbles with High Constant Mean Curvatures in Riemannian Manifolds
Gianmichele Di Matteo, Andrea Malchiodi
We obtain existence of double bubbles of large and constant mean curvatures in Riemannian manifolds. These arise as perturbations of geodesic standard double bubbles centered at cr…
math.DG2020
A Local Singularity Analysis for the Ricci Flow and its Applications to Ricci Flows with Bounded Scalar Curvature
Reto Buzano, Gianmichele Di Matteo
We develop a refined singularity analysis for the Ricci flow by investigating curvature blow-up rates locally. We first introduce general definitions of Type I and Type II singular…