Crowley, Diarmuid and Wraith, David
(2016)
Positive Ricci Curvature on Highly Connected Manifolds.
Journal of Differential Geometry.
ISSN 0022-040X
(Submitted)
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 |
| URI: |
|
| 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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