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- W1878230294 abstract "Recall that the radius of a compact metric space $(X, dist)$ is given by $rad X = min_{xin X} max_{yin X} dist(x,y)$. In this paper we generalize Berger's $frac{1}{4}$-pinched rigidity theorem and show that a closed, simply connected, Riemannian manifold with sectional curvature $geq 1$ and radius $geq frac{pi}{2}$ is either homeomorphic to the sphere or isometric to a compact rank one symmetric space." @default.
- W1878230294 created "2016-06-24" @default.
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- W1878230294 date "1996-01-01" @default.
- W1878230294 modified "2023-09-24" @default.
- W1878230294 title "The radius rigidity theorem for manifolds of positive curvature" @default.
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- W1878230294 doi "https://doi.org/10.4310/jdg/1214459225" @default.
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