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.
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.
|Full text:||(AM) Accepted Manuscript|
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|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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