The third Betti number of a positively pinched Riemannian six manifold (Q1066475)
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scientific article; zbMATH DE number 3925742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The third Betti number of a positively pinched Riemannian six manifold |
scientific article; zbMATH DE number 3925742 |
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The third Betti number of a positively pinched Riemannian six manifold (English)
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1986
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We prove that if the sectional curvature, K, of a compact 6-manifold without boundary satisfies \(1\geq K>(4\sqrt{10}- 4)/(4\sqrt{10}+23)\cong.2426,\) then its third (real) Betti number is zero.
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sectional curvature
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Betti number
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