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

Mathematics – Differential Geometry

Scientific paper

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4 pages

Scientific paper

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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