On the topology of the space of Ricci-positive metrics

Boris Botvinnik, Johannes Ebert, David J. Wraith

We show that the space ${\mathcal{R}}^{\mathrm{pRc}}(W_g^{2n})$ of metrics with positive Ricci curvature on the manifold $W_g^{2n}:={♯}^g(S^n\times S^n)$ has nontrivial ration…