A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry
| dc.creator | Leeb, Bernhard | |
| dc.date | 2009-03-03 | |
| dc.date.accessioned | 2026-07-07T12:48:45Z | |
| dc.date.available | 2026-07-07T12:48:45Z | |
| dc.description | We study geodesically complete and locally compact Hadamard spaces X whose Tits boundary is a connected irreducible spherical building. We show that X is symmetric iff complete geodesics in X do not branch and a Euclidean building otherwise. Furthermore, every boundary equivalence (cone topology homeomorphism preserving the Tits metric) between two such spaces is induced by a homothety. As an application, we can extend the Mostow and Prasad rigidity theorems to compact singular (orbi)spaces of nonpositive curvature which are homotopy equivalent to a quotient of a symmetric space or Euclidean building by a cocompact group of isometries. | |
| dc.description | My 1997 habilitation thesis as published in Bonner Mathematische Schriften vol 326 (2000) | |
| dc.identifier | https://arxiv.org/abs/0903.0584 | |
| dc.identifier | http://arxiv.org/abs/0903.0584 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222161 | |
| dc.subject | Metric Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 51E24; 53C35; 53C24; 51K10 | |
| dc.title | A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry | |
| dc.type | text |