Examples of 4-manifolds with almost nonpositive curvature |
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Authors: | Fernando Galaz-Garcia |
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Institution: | Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA |
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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. |
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Keywords: | 53C20 |
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