Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature

Abstract

In this paper, we prove some rigidity theorems for compact Bach-flat $n$-manifold with the positive constant scalar curvature. In particular, our conditions in Theorem 1.4 have the additional properties of being sharp.

Accepted by Hokkaido Mathematical Journal on 4 19, 2017 (see http://hmj2.math.sci.hokudai.ac.jp/list.html). Now we can precisely characterize the case of equality in Theorem 1.4

References in corpus (1)

• Fourth order curvature flows and geometric applications