5 papers
Linear Stability of Steady and Expanding Kähler-Ricci Solitons
Lucas Lavoyer, Adam Thompson
We prove linear stability of all steady and expanding gradient Kähler-Ricci solitons. In the expanding case, we prove strict linear stability under very general assumptions. In par…
Kähler-Ricci Tangent Flows in the Analytic Minimal Model Program
Longteng Chen, Max Hallgren, Lucas Lavoyer
We describe certain finite-time singularities of the Kähler-Ricci flow arising in the analytic minimal model program. Assuming that convergence to an asymptotically conical Kähler-…
Expanding Soliton Models for Kähler-Ricci Flow Near Conical Singularities
Longteng Chen, Max Hallgren, Lucas Lavoyer
Let be a compact analytic space with a finite number of singular points, where the metric at each singular point is modelled on a Kähler cone with smooth canonical model.…
Steady Gradient Ricci Solitons with Symmetry
Lucas Lavoyer, Luke T. Peachey
We find new examples of steady gradient Ricci solitons with positive curvature operator in dimensions four and above. Utilising a procedure first introduced by Lai, we construct ex…
Ricci flow from spaces with edge type conical singularities
Lucas Lavoyer
We study the Ricci flow out of spaces with edge type conical singularities along a closed, embedded curve. Under the additional assumption that for each point of the curve, our spa…