Mathematics – Geometric Topology
Scientific paper
2004-12-13
Mathematics
Geometric Topology
8 pages
Scientific paper
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.
No associations
LandOfFree
Obstructions for generalized graphmanifolds to be nonpositively curved does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Obstructions for generalized graphmanifolds to be nonpositively curved, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Obstructions for generalized graphmanifolds to be nonpositively curved will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-115725