## Prof. Dr. Sebastian Goette

### Project leader

Albert-Ludwigs-Universität Freiburg im Breisgau

E-mail: sebastian.goette(at)math.uni-freiburg.de

Telephone: +49 761 203 5571

Homepage: http://home.mathematik.uni-freiburg.de/g...

## Publications within SPP2026

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.

**Related project(s):****4**Secondary invariants for foliations**11**Topological and equivariant rigidity in the presence of lower curvature bounds