4 papers · 1 filter
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…
Geometric Structure of Ends of Ricci Shrinkers
Alessandro Bertellotti, Reto Buzano
We study blow-up sequences of Ricci shrinkers without global curvature assumptions based at points at which the scalar curvature satisfies a Type I bound, proving that their $\…
Ends of (singular) Ricci shrinkers
Alessandro Bertellotti, Reto Buzano
We estimate the number of ends of smooth and singular Ricci shrinkers focussing first on general ends and later on asymptotically conical ones. In particular, we obtain a variety o…
Mean Curvature Flow and Heegaard Surfaces in Lens Spaces
Reto Buzano, Sylvain Maillot
We prove that the moduli space of mean convex two-spheres embedded in complete, orientable 3-dimensional Riemannian manifolds with nonnegative Ricci curvature is path-connected. Th…