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• W2008108385 abstract "Let $M$ be a compact simply connected riemannian manifold of even dimension $d$. It is well known that if the sectional curvature of $M$ lies in the range $left ( {0,lambda } right ]$, then $M$ has volume greater than or equal to that of the $d$-dimensional euclidean sphere $S_lambda ^d$ of constant curvature $lambda$. We prove that if the volume of $M$ is no greater than 3/2 times that of $S_lambda ^d$, then $M$ is homeomorphic with the sphere." @default.
• W2008108385 created "2016-06-24" @default.
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• W2008108385 date "1991-03-01" @default.
• W2008108385 modified "2023-09-26" @default.
• W2008108385 title "A sphere theorem for reverse volume pinching on even-dimensional manifolds" @default.
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• W2008108385 doi "https://doi.org/10.1090/s0002-9939-1991-1042262-0" @default.
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