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

Kotschwar, Brett

doi:10.1112/blms/bds074

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

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Kotschwar, Brett
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Kotschwar, B. (2013). A local version of Bando's theorem on the real-analyticity of solutions to the Ricci flow. Bulletin of the London Mathematical Society, 45, 153-158. doi:10.1112/blms/bds074.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0015-1997-0

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 $U\subset M$.