Abstract
Suppose M is a compact n-dimensional manifold, n≥ 2, with a metric g ij (x, t) that evolves by the Ricci flow ∂ t g ij = −2R ij in M× (0, T). We will give a simple proof of a recent result of Perelman on the non-existence of shrinking breather without using the logarithmic Sobolev inequality.
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