On topological Blaschke conjecture. II: Nonexistence of Blaschke structure on fake quaternion projective planes (Q762473)
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scientific article; zbMATH DE number 3888462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On topological Blaschke conjecture. II: Nonexistence of Blaschke structure on fake quaternion projective planes |
scientific article; zbMATH DE number 3888462 |
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On topological Blaschke conjecture. II: Nonexistence of Blaschke structure on fake quaternion projective planes (English)
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1984
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[For the entire collection see Zbl 0535.00016.] The authors prove that a Blaschke manifold with the integral cohomology ring of \({\mathbb{H}}P^ 2\) is PL-homeomorphic to \({\mathbb{H}}P^ 2\). \textit{H. Gluck}, \textit{F. Warner} and \textit{C. T. Yang} [Duke Math. J. 50, 1041-1076 (1983; Zbl 0534.53039)] proved the same for \({\mathbb{H}}P^ 2\) and \(CaP^ 2\) by somewhat different methods. [For part I see the preceding review.]
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quaternion projective planes
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Blaschke manifold
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