ON THREE-DIMENSIONAL TYPE I κ-SOLUTIONS TO THE RICCI FLOW

kappa-solutions are very important to the study of Ricci flow since they serve as the finite-time singularity models. With the help of his profound understanding of kappa-solutions, Perelman [11] made the major breakthrough in Hamilton's program. However, three-dimensional kappa-solutions are not yet classified until this day. We prove a classification result assuming a Type I curvature bound.