Highly connected 7-manifolds, the linking form and non-negative curvature

10 Mar 2020 Goette Sebastian Kerin Martin Shankar Krishnan

In a recent article, the authors constructed a six-parameter family of highly connected 7-manifolds which admit an SO(3)-invariant metric of non-negative sectional curvature. Each member of this family is the total space of a Seifert fibration with generic fibre $S^3$ and, in particular, has the cohomology ring of an $S^3$-bundle over $S^4$... (read more)

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  • DIFFERENTIAL GEOMETRY