Highly connected 7-manifolds and non-negative curvature

Sebastian Goette; Martin Kerin; Krishnan Shankar

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arXiv · 1705.05895

Highly connected 7-manifolds and non-negative curvature

Sebastian Goette·Martin Kerin·Krishnan Shankar

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Abstract

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.

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Sebastian Goette, Martin Kerin, Krishnan Shankar. 2017-05-16. Highly connected 7-manifolds and non-negative curvature. https://arxiv.org/abs/1705.05895

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