Collapsing manifolds obtained by Kummer-type constructions
| dc.creator | Paternain, Gabriel P. | |
| dc.creator | Petean, Jimmy | |
| dc.date | 2005-07-05 | |
| dc.date.accessioned | 2026-07-07T05:21:25Z | |
| dc.date.available | 2026-07-07T05:21:25Z | |
| dc.description | We construct F-structures on a Bott manifold and on some other manifolds obtained by Kummer-type constructions. We also prove that if M=E#X, where E is a fiber bundle with structure group G and a fiber admitting a G-invariant metric of non-negative sectional curvature and X admits an F-structure with one trivial covering, then one can construct on M a sequence of metrics with sectional curvature uniformly bounded from below and volume tending to zero (i.e. $Vol_K$ (M)=0). As a corollary we prove that all the elements in the Spin cobordism group can be represented by manifolds M with $Vol_K$ (M)==0. | |
| dc.identifier | https://arxiv.org/abs/math/0507099 | |
| dc.identifier | http://arxiv.org/abs/math/0507099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75683 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C21 | |
| dc.title | Collapsing manifolds obtained by Kummer-type constructions | |
| dc.type | text |