Uniqueness of the complex structure on Kähler manifolds of certain homotopy types (Q923399)
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scientific article; zbMATH DE number 4169615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of the complex structure on Kähler manifolds of certain homotopy types |
scientific article; zbMATH DE number 4169615 |
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Uniqueness of the complex structure on Kähler manifolds of certain homotopy types (English)
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1990
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The main result of this paper is that for \(n\leq 6\), a Kähler manifold which is homotopy equivalent to the projective space \({\mathbb{C}}{\mathbb{P}}_ n\) is analytically equivalent to \({\mathbb{C}}{\mathbb{P}}_ n\). An ad hoc proof is given for each of the cases \(n=3,4,5,6\).
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complex projective spaces
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homotopy type
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Kähler manifold
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