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Crowley, Diarmuid and Wraith, David (2016) Positive Ricci Curvature on Highly Connected Manifolds. Journal of Differential Geometry. ISSN 0022-040X (Submitted)
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Abstract
For k≥2, let M4k−1 be a (2k−2)-connected closed manifold. If k≡1 mod 4 assume further that M is (2k−1)-parallelisable. Then there is a homotopy sphere Σ4k−1 such that M♯Σ admits a Ricci positive metric. This follows from a new description of these manifolds as the boundaries of explicit plumbings.
| Item Type: | Article |
|---|---|
| Additional Information: | This is the preprint version of the forthcoming article. |
| Keywords: | Positive Ricci curvature; manifolds; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 6973 |
| Identification Number: | arXiv:1404.7446 |
| Depositing User: | Dr. David Wraith |
| Date Deposited: | 18 Feb 2016 17:02 |
| Journal or Publication Title: | Journal of Differential Geometry |
| Publisher: | International Press |
| Refereed: | Yes |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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