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arXiv · 1111.0355

A local version of Bando's theorem on the real-analyticity of solutions to the Ricci flow

Brett Kotschwar
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Abstract

It is a theorem of S. Bando that if $g(t)$ is a solution to the Ricci flow on a compact manifold $M$, then $(M, g(t))$ is real-analytic for each $t >0$. In this note, we extend his result to smooth solutions on open domains $U\subset M$.

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Brett Kotschwar. 2011-11-02. A local version of Bando's theorem on the real-analyticity of solutions to the Ricci flow. https://doi.org/10.1112/blms%2Fbds074

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