Highly connected 7-manifolds and non-negative curvature
Differential Geometry
2020-02-06 v2
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.
Keywords
Cite
@article{arxiv.1705.05895,
title = {Highly connected 7-manifolds and non-negative curvature},
author = {Sebastian Goette and Martin Kerin and Krishnan Shankar},
journal= {arXiv preprint arXiv:1705.05895},
year = {2020}
}
Comments
62 pages; Final Version. To appear in Ann. of Math