Stability of Convex Spheres
Differential Geometry
2024-12-03 v2 Metric Geometry
Abstract
We prove that strictly convex 2-spheres, all of whose simple closed geodesics are close in length to 2{\pi}, are C^0 Cheeger-Gromov close to the round sphere.
Cite
@article{arxiv.2312.13995,
title = {Stability of Convex Spheres},
author = {Davi Máximo and Hunter Stufflebeam},
journal= {arXiv preprint arXiv:2312.13995},
year = {2024}
}
Comments
V2: 18 pages. Added 7 figures, expanded exposition and background, corrected minor errors. Final version to reflect published version