4 papers
Tangent Flows of Kähler Metric Flows
Max Hallgren, Wangjian Jian
We improve the description of -limits of noncollapsed Ricci flows in the Kähler setting. In particular, the singular strata of such metric flows satisfy…
Canonical surgeries in rotationally invariant Ricci flow
Timothy Buttsworth, Maximilien Hallgren, Yongjia Zhang
We construct a rotationally invariant Ricci flow through surgery starting at any closed rotationally invariant Riemannian manifold. We demonstrate that a sequence of such Ricci flo…
Local Stability of Einstein Metrics Under the Ricci Iteration
Timothy Buttsworth, Maximilien Hallgren
We provide a sufficient condition for the local stability of closed Einstein manifolds of positive Ricci curvature under the Ricci iteration in terms of the spectrum of the Lichner…
The Nonexistence of Noncompact Type-I Ancient 3-d -Solutions of Ricci Flow with Positive Curvature
Max Hallgren
In this short paper, we show there do not exist three-dimensional noncompact -solutions of Ricci flow that have positive curvature and satisfy a Type-I bound. This represents pr…