Abstract
Using a Kaluza–Klein-type procedure, an explicit metric h on an exotic sphere Σ7 is constructed, satisfying the Wiedersehen condition at a set of points diffeomorphic to S 1. The formulas for the geodesics allows the writing down of formulas for an explicit degree 1 diffeomorphism σ: S 6 → S 6 that is not isotopic to the identity.
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Durán, C.E. Pointed Wiedersehen Metrics on Exotic Spheres and Diffeomorphisms of S6. Geometriae Dedicata 88, 199–210 (2001). https://doi.org/10.1023/A:1013163427655
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DOI: https://doi.org/10.1023/A:1013163427655