Strong uniqueness of the Ricci flow

In this paper, we derive some local a priori estimates for the Ricci flow.This gives rise to some strong uniqueness theorems.As a corollary, let g(t) be a smooth complete solution to the Ricci flow on R 3 , with the canonical Euclidean metric E as initial data, then g(t) is trivial, i.e. g(t) ≡ E.