Stability of Convex Spheres

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.

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Publication Details

Journal
International Mathematics Research Notices
Published
2024-12-18
DOI
https://doi.org/10.1093/imrn/rnae275
Citations
1
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.97

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article

Stability of Convex Spheres

Hunter Stufflebeam, Davi Máximo
1 citations
International Mathematics Research Notices
Geometric Analysis and Curvature Flows
0.97
article

Stability of Convex Spheres

Hunter Stufflebeam, Davi Máximo
article en
1 citations

Abstract

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.

International Mathematics Research NoticesVol. 2025(1)
University of Pennsylvania (US)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 22%
Geometric Analysis and Curvature Flows
0.97
DOISourceOpenAlex
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Stability of Convex Spheres — Hunter Stufflebeam, Davi Máximo · International Mathematics Research Notices (2024) | TGRS Research Map | TGRS