Lipschitz convergence of manifolds of positive Ricci curvature with large volume (Q1107846)
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scientific article; zbMATH DE number 4065848
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lipschitz convergence of manifolds of positive Ricci curvature with large volume |
scientific article; zbMATH DE number 4065848 |
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Lipschitz convergence of manifolds of positive Ricci curvature with large volume (English)
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1989
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In this paper, we determine the differentiable structure of manifolds of positive Ricci curvature with volumes close to the possible maximal volumes, under a uniform lower bound for the sectional curvature. We prove that such a manifold is diffeomorphic to a spherical space form.
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differentiable structure
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positive Ricci curvature
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volumes
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spherical space form
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geodesics
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