# Members & Former Members

## Prof. Dr. Johannes Ebert

WWU Münster

E-mail: jeber_02(at)uni-muenster.de
Telephone: +49 251-83-33092
Homepage: https://ivv5hpp.uni-muenster.de/u/jeber_…

## Project

9Diffeomorphisms and the topology of positive scalar curvature

## Publications within SPP2026

The main result of this paper is that when M_0, M_1 are two simply connected spin manifolds of the same dimension d≥5 which both admit a metric of positive scalar curvature, the spaces \mathcal{M}^+(M0) and \mathcal{M}^+(M_1) of such metrics are homotopy equivalent. This supersedes a previous result of Chernysh and Walsh which gives the same conclusion when M_0 and M_1 are also spin cobordant.

We also prove an analogous result for simply connected manifolds which do not admit a spin structure; we need to assume that d≠8 in that case.