On four manifolds which are positively pinched (Q1110105)
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scientific article; zbMATH DE number 4071833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On four manifolds which are positively pinched |
scientific article; zbMATH DE number 4071833 |
Statements
On four manifolds which are positively pinched (English)
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1987
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The author proves the following theorem: Let M be a compact connected oriented Riemannian four manifold without boundary. If the sectional curvature K of M is \(\partial\)-pinched \(1\geq K\geq \partial\), with \(\partial \geq \sqrt{5}/(9+\sqrt{5})\simeq 0.1990,\) then M is a topological \(S^ 4\) or \({\mathbb{C}}P^ 2\).
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sphere theorem
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pinching theorem
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sectional curvature
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