Rigidity of shrinking gradient ricci soliton with constant scalar curvature

Fengjiang Li, Yuanyuan Qu, Guoqiang Wu

Let $(M^n,g,f)$ be a complete shrinking gradient Ricci soliton with constant scalar curvature. Under the assumptions that (i) $Ric\ge \frac{{\nabla }_{\nabla f}Ric}{f}$ on $M\setm…