Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606443 | Differential Geometry and its Applications | 2008 | 7 Pages |
Abstract
We construct an infinite family of non-homeomorphic 4-manifolds with almost nonpositive sectional curvature whose universal covering space is not contractible. As a consequence, these manifolds do not support metrics with nonpositive sectional curvature. To achieve this, we use a generalization of Bavard's surgery construction, combined with an open book decomposition and knot theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fernando Galaz-Garcia,