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Article overview
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Wiedersehen metrics and exotic involutions of Euclidean spheres | Uwe Abresch
; Carlos Duran
; Thomas Puettmann
; A. Rigas
; | Date: |
6 Dec 2004 | Subject: | Geometric Topology; Differential Geometry MSC-class: 57S25 (Primary), 53C22, 57S17, 57R55 (Secondary) | math.GT math.DG | Affiliation: | Ruhr-Universitaet Bochum), Carlos Duran (Unicamp), Thomas Puettmann (Ruhr-Universitaet Bochum), A. Rigas (Unicamp | Abstract: | We provide explicit, simple, geometric formulas for free involutions rho of Euclidean spheres that are not conjugate to the antipodal involution. Therefore the quotient S^n/rho is a manifold that is homotopically equivalent but not diffeomorphic to RP^n. We use these formulas for constructing explicit non-trivial elements in pi_1 Diff(S^5) and pi_1 Diff(S^13) and to provide explicit formulas for non-cancellation phenomena in group actions. | Source: | arXiv, math.GT/0501091 | Services: | Forum | Review | PDF | Favorites |
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