TITLE

# A simple proof on the non-existence of shrinking breathers for the Ricci flow

AUTHOR(S)
Hsu, Shu-Yu
PUB. DATE
September 2006
SOURCE
Calculus of Variations & Partial Differential Equations;Sep2006, Vol. 27 Issue 1, p59
SOURCE TYPE
DOC. TYPE
Article
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 = -2 R ij in Mï¿½ (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.
ACCESSION #
21073892

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