An infinite family of Gromoll-Meyer spheres

Details An infinite family of Gromoll-Meyer spheres An infinite family of Gromoll-Meyer spheres

2006-10-11

arxiv.org/abs/math/0610349v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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