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A local version of Bando’s theorem on the real-analyticity of solutions to the Ricci flow. (English) Zbl 1259.53065
Summary: It is a theorem of 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 $$U \subset M$$.

##### MSC:
 53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010) 35K55 Nonlinear parabolic equations
##### Keywords:
Ricci flow; smooth solutions; open domains
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