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An infinite family of Gromoll-Meyer spheres

Differential Geometry 2007-05-23 v1 Geometric Topology

Abstract

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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Cite

@article{arxiv.math/0610349,
  title  = {An infinite family of Gromoll-Meyer spheres},
  author = {C. Duran and T. Puettmann and A. Rigas},
  journal= {arXiv preprint arXiv:math/0610349},
  year   = {2007}
}

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13 pages