Lucas Lavoyer

collaborators

3 papers

math.DG2026

Expanding Soliton Models for Kähler-Ricci Flow Near Conical Singularities

Longteng Chen, Max Hallgren, Lucas Lavoyer

Let $(Y, g_{0})$ 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.…

math.DG2025

Steady Gradient Ricci Solitons with $O (p) \times O (q)$ 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…

math.DG2025

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…

Expanding Soliton Models for Kähler-Ricci Flow Near Conical Singularities

Steady Gradient Ricci Solitons with O(p)×O(q) Symmetry

Ricci flow from spaces with edge type conical singularities

Steady Gradient Ricci Solitons with $O (p) \times O (q)$ Symmetry