Goette, S. and Kerin, M. and Shankar, K. (2020) 'Highly connected 7-manifolds and non-negative sectional curvature.', Annals of Mathematics, 191 (3). pp. 829-892.
Abstract
In this article, a six-parameter family of highly connected 7-manifolds which admit an S O ( 3 ) -invariant metric of non-negative sectional curvature is constructed and the Eells-Kuiper invariant of each is computed. In particular, it follows that all exotic spheres in dimension 7 admit an S O ( 3 ) -invariant metric of non-negative curvature.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (609Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.4007/annals.2020.191.3.3 |
| Date accepted: | No date available |
| Date deposited: | 15 November 2022 |
| Date of first online publication: | 21 December 2021 |
| Date first made open access: | 15 November 2022 |
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