The Generalized Smale Conjecture for 3-manifolds with genus 2 one-sided Heegaard splittings
| dc.creator | McCullough, Darryl | |
| dc.creator | Rubinstein, J. H. | |
| dc.date | 1997-12-07 | |
| dc.date.accessioned | 2026-07-07T05:23:23Z | |
| dc.date.available | 2026-07-07T05:23:23Z | |
| dc.description | The Generalized Smale Conjecture asserts that if M is a closed 3-manifold with constant positive curvature, then the inclusion of the group of isometries into the group of diffeomorphisms is a homotopy equivalence. For the 3-sphere, this was the classical Smale Conjecture proved by A. Hatcher. N. Ivanov proved the Generalized Smale Conjecture for the M which contain a 1-sided Klein bottle and such that no Seifert fibering is nonsingular on the complement of any vertical Klein bottle. We prove it in all remaining cases containing a one-sided Klein bottle, except for the lens space L(4,1). | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/9712233 | |
| dc.identifier | http://arxiv.org/abs/math/9712233 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76414 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M99 (Primary) 57M50 (Secondary) | |
| dc.title | The Generalized Smale Conjecture for 3-manifolds with genus 2 one-sided Heegaard splittings | |
| dc.type | text |