2 papers
math.DG2024
Stability of Convex Spheres
Davi Máximo, Hunter Stufflebeam
We prove that strictly convex 2-spheres, all of whose simple closed geodesics are close in length to 2Ï, are C^0 Cheeger-Gromov close to the round sphere.
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…