Botvinnik, Boris and Ebert, Johannes and Wraith, David J.
(2020)
On the topology of the space of Ricci-positive metrics.
Proceedings of the American Mathematical Society, 148 (9).
pp. 3997-4006.
ISSN 1088-6826
Abstract
We show that the space RpRc(W2ng ) of metrics with positive Ricci
curvature on the manifold W2ng := g(Sn × Sn) has nontrivial rational homology if n ≡ 3 (mod 4) and g are both sufficiently large. The same argument
applies to RpRc(W2ng N) provided that N is spin and W2ng N admits a Ricci
positive metric.
| Item Type: |
Article
|
| Keywords: |
topology; Ricci-positive metrics; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
15508 |
| Identification Number: |
https://doi.org/10.1090/proc/14988 |
| Depositing User: |
Dr. David Wraith
|
| Date Deposited: |
15 Feb 2022 15:08 |
| Journal or Publication Title: |
Proceedings of the American Mathematical Society |
| Publisher: |
American Mathematical Society |
| 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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