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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C. Duran and A. Rigas were supported by CNPq. C. Duran was also supported by FAPESP grant 03/016789 and FAEPEX grant 15406. T. Püttmann was supported by a DFG Heisenberg fellowship and by the DFG priority program SPP 1154 “Globale Differentialgeometrie”.
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Durán, C., Püttmann, T. & Rigas, A. An infinite family of Gromoll–Meyer spheres. Arch. Math. 95, 269–282 (2010). https://doi.org/10.1007/s00013-010-0161-x
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DOI: https://doi.org/10.1007/s00013-010-0161-x