Some old and new results about rigidity of critical metric

Abstract

We present a new proof of a recent $\epsilon$ regularity of G. Tian and J.Viaclovsky. Moreover, our idea also also works with a kind of $L^p,p<\dim M/2$ assumptions on the curvature.

References in corpus (1)

• Einstein manifolds with nonnegative isotropic curvature are locally symmetric