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arXiv:1705.05895 [math.DG]AbstractReferencesReviewsResources

Highly connected 7-manifolds and non-negative curvature

Sebastian Goette, Martin Kerin, Krishnan Shankar

Published 2017-05-16Version 1

In this article, a six-parameter family of highly connected 7-manifolds which admit an SO(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 SO(3)-invariant metric of non-negative curvature.

Comments: 62 pages
Categories: math.DG
Subjects: 53C20, 57R20, 57R55, 58J28
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