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arXiv 2006-10-11 0 views

An infinite family of Gromoll-Meyer spheres

Duran, C. · Puettmann, T. · Rigas, A.

Original · EN

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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