Strong uniqueness of thericci flow

Abstract

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 ℝ3, with the canonical Euclidean metric E as initial data, then g(t) is trivial, i.e. g(t) ≡ E. © 2009 Applied Probability Trust.