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- W4385964597 abstract "In Riemannian geometry, the Cheng's maximal diameter rigidity theorem says that if a complete $n$-manifold $M$ of Ricci curvature, $operatorname{Ric}_Mge (n-1)$, has the maximal diameter $pi$, then $M$ is isometric to the unit sphere $S^n_1$. The main result in this paper is a quantitative maximal diameter rigidity: if $M$ satisfies that $operatorname{Ric}_Mge n-1$, $operatorname{diam}(M)approx pi$, and the Riemannian universal cover of every metric ball in $M$ of a definite radius satisfies a Riefenberg condition, then $M$ is diffeomorphic and bi-Holder close to $S^n_1$." @default.
- W4385964597 created "2023-08-18" @default.
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- W4385964597 date "2023-08-03" @default.
- W4385964597 modified "2023-09-23" @default.
- W4385964597 title "Quantitative Maximal Diameter Rigidity of Positive Ricci Curvature" @default.
- W4385964597 doi "https://doi.org/10.48550/arxiv.2308.01592" @default.
- W4385964597 hasPublicationYear "2023" @default.
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