Almost negatively Ricci curved metrics on \(S^ n\) (Q1114173)
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scientific article; zbMATH DE number 4084494
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost negatively Ricci curved metrics on \(S^ n\) |
scientific article; zbMATH DE number 4084494 |
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Almost negatively Ricci curved metrics on \(S^ n\) (English)
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1990
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An n-dimensional differential manifold M is said to be almost negatively Ricci curved, if for arbitrary \(c>0\), there is a Riemannian metric g on M, such that \[ diam(M,g)^ 2\cdot \max Ric(M,g)<\epsilon. \] In this paper the author proves that any n-dimensional sphere \(S^ n(n\geq 3)\) admits almost negatively Ricci-curved metrics.
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almost negatively Ricci curved
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sphere
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