On topological Blaschke conjecture. II: Nonexistence of Blaschke structure on fake quaternion projective planes
[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.]
scientific article; zbMATH DE number 3888462