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arXiv:0812.1849 [math.DG]AbstractReferencesReviewsResources

Time-dependent Sobolev inequality along the Ricci flow

Chengjie Yu

Published 2008-12-10, updated 2008-12-19Version 3

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.

Comments: Proof of Theorem 2.2 is added, a serious mistake in the proof of Theorem 2.3 is corrected
Categories: math.DG, math.AP
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