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arxiv: 0906.4920 · v1 · submitted 2009-06-26 · 🧮 math.DG · math.AP

Backwards uniqueness of the Ricci flow

classification 🧮 math.DG math.AP
keywords flowriccisolutionbackwardsbackwards-uniquenesscannotconsequencecontinuation
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In this paper, we prove a unique continuation or ``backwards-uniqueness'' theorem for solutions to the Ricci flow. A particular consequence is that the isometry group of a solution cannot expand within the lifetime of the solution.

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