Time-dependent Sobolev inequality along the Ricci flow

Details Time-dependent Sobolev inequality along the Ricci flow Time-dependent Sobolev inequality along the Ricci flow

2008-12-10

arxiv.org/abs/0812.1849v3

Mathematics

Differential Geometry

Proof of Theorem 2.2 is added, a serious mistake in the proof of Theorem 2.3 is corrected

Scientific paper

In this article we get a time-dependent Sobolev inequality along the Ricci
flow which generalizes the earlier results of Zhang, Ye, Hsu. As an application
of the time-dependent Sobolev inequality, we also get a growth of the ratio of
bob-collapsing along the Ricci flow.

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