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Positive sectional curvature on a family of exotic fifteen-sphere

Chen, Zhiqi et al.
arXiv (All) · Papers
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differential-geometry
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-sp
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