Zero entropy and bounded topology
| dc.creator | Paternain, Gabriel P. | |
| dc.creator | Petean, Jimmy | |
| dc.date | 2004-06-02 | |
| dc.date.accessioned | 2026-07-07T05:08:49Z | |
| dc.date.available | 2026-07-07T05:08:49Z | |
| dc.description | We study the existence of Riemannian metrics with zero topological entropy on a closed manifold M with infinite fundamental group. We show that such a metric does not exist if there is a finite simply connected CW complex which maps to M in such a way that the rank of the map induced in the pointed loop space homology grows exponentially. This result allows us to prove in dimensions four and five, that if M admits a metric with zero entropy then its universal covering has the rational homotopy type of a finite elliptic CW complex. We conjecture that this is the case in every dimension. | |
| dc.identifier | https://arxiv.org/abs/math/0406051 | |
| dc.identifier | http://arxiv.org/abs/math/0406051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71417 | |
| dc.subject | Differential Geometry | |
| dc.subject | Dynamical Systems | |
| dc.title | Zero entropy and bounded topology | |
| dc.type | text |