The Log Entropy Functional Along the Ricci Flow

Details The Log Entropy Functional Along the Ricci Flow The Log Entropy Functional Along the Ricci Flow

2007-08-15

arxiv.org/abs/0708.2008v3

Mathematics

Differential Geometry

A typo in the monotonicity inequality for the log entropy functional is corrected. Namely the factor 1/(16 \omega) should be (

Scientific paper

In this paper we introduce the log entropy functional and establish its
monotonicity along the Ricci flow. One consequence of it is the monotonicity of
the logarithmic Sobolev constant along the Ricci flow.

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