Strong Uniqueness of the Ricci Flow

Bing-Long Chen

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arXiv · 0706.3081

Strong Uniqueness of the Ricci Flow

Bing-Long Chen

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Abstract

In this paper, we derive some local a priori estimates for 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 $\mathbb{R}^{3}$, with the canonical Euclidean metric $E$ as initial data, then $g(t)$ is trivial, i.e. $g(t)\equiv E$.

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BibTeX RIS

Bing-Long Chen. 2010-10-05. Strong Uniqueness of the Ricci Flow. https://arxiv.org/abs/0706.3081

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