A characterization of higher rank symmetric spaces via bounded cohomology
| dc.creator | Bestvina, Mladen | |
| dc.creator | Fujiwara, Koji | |
| dc.date | 2007-02-09 | |
| dc.date | 2008-07-13 | |
| dc.date.accessioned | 2026-07-07T09:49:44Z | |
| dc.date.available | 2026-07-07T09:49:44Z | |
| dc.description | Let $M$ be complete nonpositively curved Riemannian manifold of finite volume whose fundamental group $Γ$ does not contain a finite index subgroup which is a product of infinite groups. We show that the universal cover $\tilde M$ is a higher rank symmetric space iff $H^2_b(M;\R)\to H^2(M;\R)$ is injective (and otherwise the kernel is infinite-dimensional). This is the converse of a theorem of Burger-Monod. The proof uses the celebrated Rank Rigidity Theorem, as well as a new construction of quasi-homomorphisms on groups that act on CAT(0) spaces and contain rank 1 elements. | |
| dc.identifier | https://arxiv.org/abs/math/0702274 | |
| dc.identifier | http://arxiv.org/abs/math/0702274 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164698 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.title | A characterization of higher rank symmetric spaces via bounded cohomology | |
| dc.type | text |