Highly connected 7-manifolds and non-negative sectional curvature

Goette, S.; Kerin, M.; Shankar, K.

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.

Citation

Goette, S., Kerin, M., & Shankar, K. (2020). Highly connected 7-manifolds and non-negative sectional curvature. Annals of Mathematics, 191(3), 829-892. https://doi.org/10.4007/annals.2020.191.3.3

• Journal Article Type: Article
• Online Publication Date: Dec 21, 2021
• Publication Date: 2020-05
• Deposit Date: Nov 15, 2022
• Publicly Available Date: Nov 15, 2022
• Journal: Annals of Mathematics
• Print ISSN: 0003-486X
• Electronic ISSN: 1939-8980
• Publisher: Department of Mathematics
• Peer Reviewed: Peer Reviewed
• Volume: 191
• Issue: 3
• Pages: 829-892
• DOI: https://doi.org/10.4007/annals.2020.191.3.3
• Public URL: https://durham-repository.worktribe.com/output/1186119