تقرير
Geometric Graph Manifolds with non-negative scalar curvature
| العنوان: | Geometric Graph Manifolds with non-negative scalar curvature |
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| المؤلفون: | Florit, Luis, Ziller, Wolfgang |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C15, 53C20, 53C24 |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1112/jlms.12466 |
| URL الوصول: | http://arxiv.org/abs/1705.04208 |
| رقم الأكسشن: | edsarx.1705.04208 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1112/jlms.12466 |
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