Some rigidity theorems for closed Ricci shrinkers

This paper study some properties about the shrinking gradient Ricci solitons on closed manifold, under the assumptions of $ {L}^{n/2} $-norm of traceless curvature tensor are sufficiently small and the diameter has an upper bound and the volume has a lower bound, using the classical Moser iteration to give some rigidity results, such as without assumption of volume has a lower bound if the dimension is 4.