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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
Complete Riemannian 4-manifolds with uniformly positive scalar curvature
Otis Chodosh, Davi Maximo, Anubhav Mukherjee
We obtain topological obstructions to the existence of a complete Riemannian metric with uniformly positive scalar curvature on certain (non-compact) -manifolds. In particular,…