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arxiv: 0805.0812 · v3 · submitted 2008-05-06 · 🧮 math.DG

An exotic sphere with positive sectional curvature

classification 🧮 math.DG
keywords curvaturepositivesectionalsphereexoticgromoll-meyermetricthere
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We show that there is a metric on the Gromoll-Meyer sphere with positive sectional curvature.

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  1. A Physicist's Visit to Exotic Spheres

    hep-th 2026-04 unverdicted novelty 6.0

    The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for findin...