Geometric Graph Manifolds with non-negative scalar curvature
| Autor: | Florit, Luis, Ziller, Wolfgang |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/jlms.12466 |
| Popis: | We classify $n$-dimensional geometric graph manifolds with nonnegative scalar curvature, and first show that if $n>3$, the universal cover splits off a codimension 3 Euclidean factor. We then proceed with the classification of the 3-dimensional case by showing that such a manifold is either a lens space or a prism manifold with a very rigid metric. This allows us to also classify the moduli space of such metrics: it has infinitely many connected components for lens spaces, while it is connected for prism manifolds. Comment: 19 pages, 3 figures. Second version with an additional corollary and improved exposition. arXiv admin note: substantial text overlap with arXiv:1611.06572 |
| Databáze: | arXiv |
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