2013/11/18 by He, Fei
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1311.4515
Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat manifolds, removing the volume growth assumptions in known results.