Uniqueness of solutions of Ricci flow on complete noncompact manifolds

Mathematics – Differential Geometry

Scientific paper

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A simple example of a manifold with bounded curvature and injectivity radius going to zero as the point tends to infinity is g

Scientific paper

We prove the uniqueness of solutions of the Ricci flow on complete noncompact
manifolds with bounded curvatures using the De Turck approach. As a consequence
we obtain a correct proof of the existence of solution of the Ricci harmonic
flow on complete noncompact manifolds with bounded curvatures.

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