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Zhi-Qi Chen

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Preprint Oct 2026

Positive sectional curvature on a family of exotic fifteen-sphere

We construct Riemannian metrics of strictly positive sectional curvature on at least 508 pairwise nondiffeomorphic exotic fifteen-spheres, without distinguishing orientations. The construction starts with quaternionic line bundles over the product of the quaternionic projective plane and the four-sphere. Surgery on an...

Zhi-Qi Chen, Shao-Qiang Deng, Hui Zhang · 1 citation

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