Wiedersehen metrics and exotic involutions of Euclidean spheres
| dc.creator | Abresch, Uwe | |
| dc.creator | Duran, Carlos | |
| dc.creator | Puettmann, Thomas | |
| dc.creator | Rigas, A. | |
| dc.date | 2005-01-06 | |
| dc.date | 2005-07-18 | |
| dc.date.accessioned | 2026-07-07T05:15:53Z | |
| dc.date.available | 2026-07-07T05:15:53Z | |
| dc.description | 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. | |
| dc.description | 17 pages, 5 figures, a QuickTime movie visualizing an exotic involution of S^5 is currently available at http://www.ruhr-uni-bochum.de/mathematik8/puttmann, revised version: corrections of typos, minor changes in the presentation, 1 reference added | |
| dc.identifier | https://arxiv.org/abs/math/0501091 | |
| dc.identifier | http://arxiv.org/abs/math/0501091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73787 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57S25 (Primary), 53C22, 57S17, 57R55 (Secondary) | |
| dc.title | Wiedersehen metrics and exotic involutions of Euclidean spheres | |
| dc.type | text |