Inequalities for cohomology classes of Kaehler manifolds (Q1824228)
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scientific article; zbMATH DE number 4117415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for cohomology classes of Kaehler manifolds |
scientific article; zbMATH DE number 4117415 |
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Inequalities for cohomology classes of Kaehler manifolds (English)
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1989
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The author proves an inequality among Chern numbers of a compact Kaehler manifold. Let M be an n-dimensional compact Kaehler manifold \((n>3)\) with dim \(H^{1,1}(M,C)=1\). Then the Chern numbers satisfy \(c^ n_ 1\cdot c^ 2_ 2c_ 1^{n-4}\geq (c_ 2c_ 1^{n-2})^ 2\) with equality if and only if \(c_ 2=kc^ 2_ 1\) for some k.
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inequality
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Chern numbers
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Kaehler manifold
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