Luke T. Peachey

collaborators

2 papers

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.DG2024

Expanding Ricci solitons coming out of weakly PIC1 metric cones

Pak-Yeung Chan, Man-Chun Lee, Luke T. Peachey

Motivated by recent work of Deruelle-Schulze-Simon, we study complete weakly PIC1 Ricci flows with Euclidean volume growth coming out of metric cones. We show that such a Ricci flo…

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

Expanding Ricci solitons coming out of weakly PIC1 metric cones

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