Ricci flow and a sphere theorem for Ln/2-pinched Yamabe metrics

Abstract We obtain a differential sphere and Ricci flow convergence theorem for positive scalar curvature Yamabe metrics with L n / 2 -pinched curvature in general dimensions n. Previously, E. Hebey and M. Vaugon obtained in [9] a corresponding result for L p -pinching with p > n / 2 .