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Botvinnik, Boris, 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
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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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/15508 |
| 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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