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.
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Bing-Long Chen (2009) studied this question.
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