Deforming three-manifolds with positive scalar curvature
Deforming three-manifolds with positive scalar curvature
In this paper we prove that the moduli space of metrics with positive scalar curvature of an orientable compact three-manifold is path-connected.The proof uses the Ricci flow with surgery, the conformal method, and the connected sum construction of Gromov and Lawson.The work of Perelman on Hamilton's Ricci flow is fundamental.As …