Kähler--Ricci Shrinkers with Constant Scalar Curvature Are Rigid

Wenqi Li, Jianyu Ou, Guoqiang Wu +1

Let $(M^{2m},g,f,J)$ be a complete gradient Kähler--Ricci shrinker satisfying \[ \operatorname{Ric}+\nabla^2 f=\frac12 g. \] We prove that if the scalar curvature is constant, then…