3 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…
math.DG2024
A Smooth Intrinsic Flat Limit of with Negative Curvature
Jared Krandel, Paul Sweeney
In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian -manifolds, $n\ge…