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arxiv: 0810.0576 · v1 · submitted 2008-10-03 · 🧮 math.DG

Negativity of Perelman's Li-Yau-Hamilton type expression

classification 🧮 math.DG
keywords expressionli-yau-hamiltonperelmantypearticlechau-tam-yueuclideanflow
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Chau-Tam-Yu has proved the non-positivity of Perelman's new Li-Yau-Hamilton type expression on noncompact manifolds. In this article, we further prove that $v$ is negative if the Ricci flow is not end up with an Euclidean space.

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