8 citations · 8 across the 3 of their papers we have counts for
3 papers
math.DG2026
PIC1 pinched manifolds are flat or compact
Alix Deruelle, Man-Chun Lee, Felix Schulze +2
Hamilton's pinching conjecture, that three-dimensional complete non-compact manifolds with pinched Ricci curvature are flat, has recently been resolved using Ricci flow. In this pa…
math.DG2023
Ricci flow and PIC1
Peter M. Topping
We survey several problems concerning Riemannian manifolds with positive curvature of one form or another. We describe the PIC1 notion of positive curvature and argue that it is of…
math.DG2019★ 8 cited
Loss of initial data under limits of Ricci flows
Peter M. Topping
We construct a sequence of smooth Ricci flows on , with standard uniform curvature decay, and with initial metrics converging to the standard flat unit-area square torus…