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arxiv: math/0610349 · v1 · submitted 2006-10-11 · 🧮 math.DG · math.GT

An infinite family of Gromoll-Meyer spheres

classification 🧮 math.DG math.GT
keywords sphereexoticfamilygromoll-meyerinfinitemodelsspherescloser
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We construct a new infinite family of models of exotic 7-spheres. These models are direct generalizations of the Gromoll-Meyer sphere. From their symmetries, geodesics and submanifolds half of them are closer to the standard 7-sphere than any other known model for an exotic 7-sphere.

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