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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
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