Obstructions for generalized graphmanifolds to be nonpositively curved
| dc.creator | Svetlov, P. | |
| dc.date | 2004-12-13 | |
| dc.date | 2005-01-11 | |
| dc.date.accessioned | 2026-07-07T05:15:13Z | |
| dc.date.available | 2026-07-07T05:15:13Z | |
| dc.description | An $n$-dimensional manifold $M$ ($n\ge 3$) is called {\it generalized graph manifold} if it is glued of blocks that are trivial bundles of $(n-2)$-tori over compact surfaces (of negative Euler characteristic) with boundary. In this paper two obstructions for generalized graph manifold to be nonpositively curved are described. Each 3-dimensional generalized graph manifold with boundary carries a metric of nonpositive sectional curvature in which the boundary is flat and geodesic (B. Leeb). The last part of this paper contains an example of 4-dimensional generalized graph manifold with boundary, which does not admit a metric of nonpositive sectional curvature with flat and geodesic boundary. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0412228 | |
| dc.identifier | http://arxiv.org/abs/math/0412228 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73560 | |
| dc.subject | Geometric Topology | |
| dc.subject | 53C21 | |
| dc.title | Obstructions for generalized graphmanifolds to be nonpositively curved | |
| dc.type | text |