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Highly connected 7-manifolds and non-negative curvature
Published 16 May 2017 in math.DG | (1705.05895v2)
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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