# Members & Guests

## Prof. Dr. Sebastian Goette

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...

## Project

4Secondary invariants for foliations

## 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.