Bounds on the volume entropy and simplicial volume in Ricci curvature $L^p$ bounded from below
| dc.creator | Aubry, E. | |
| dc.date | 2008-10-01 | |
| dc.date | 2008-11-26 | |
| dc.date.accessioned | 2026-07-07T10:36:26Z | |
| dc.date.available | 2026-07-07T10:36:26Z | |
| dc.description | Let $(M,g)$ be a compact manifold with Ricci curvature almost bounded from below and $π:\bar{M}\to M$ be a normal, Riemannian cover. We show that, for any nonnegative function $f$ on $M$, the means of $føπ$ on the geodesic balls of $\bar{M}$ are comparable to the mean of $f$ on $M$. Combined with logarithmic volume estimates, this implies bounds on several topological invariants (volume entropy, simplicial volume, first Betti number and presentations of the fundamental group) in Ricci curvature $L^p$-bounded from below. | |
| dc.identifier | https://arxiv.org/abs/0810.0149 | |
| dc.identifier | http://arxiv.org/abs/0810.0149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180052 | |
| dc.subject | Differential Geometry | |
| dc.title | Bounds on the volume entropy and simplicial volume in Ricci curvature $L^p$ bounded from below | |
| dc.type | text |