Pointed Wiedersehen Metrics on Exotic Spheres and Diffeomorphisms of S6
- Cite this article as:
- Durán, C.E. Geometriae Dedicata (2001) 88: 199. doi:10.1023/A:1013163427655
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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 S1. The formulas for the geodesics allows the writing down of formulas for an explicit degree 1 diffeomorphism σ: S6 → S6 that is not isotopic to the identity.