Stability of Convex Spheres
arXiv:2312.13995 · doi:10.1093/imrn/rnae275
Abstract
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.
V2: 18 pages. Added 7 figures, expanded exposition and background, corrected minor errors. Final version to reflect published version