2 papers
math.DG2025
Positive curvature conditions on contractible manifolds
Paul Sweeney
Our goal is to identify curvature conditions that distinguish Euclidean space in the case of open, contractible manifolds and the disk in the case of compact, contractible manifold…
math.DG2024
Width Stability of Rotationally Symmetric Metrics
Hunter Stufflebeam, Paul Sweeney
We prove a conjecture of Marques-Neves in arXiv:2103.10093, and several alternative formulations thereof, about the stability of the min-max width of three-spheres under the additi…