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arxiv: 0812.1849 · v3 · submitted 2008-12-10 · 🧮 math.DG · math.AP

Time-dependent Sobolev inequality along the Ricci flow

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keywords alongflowinequalityriccisobolevtime-dependentapplicationarticle
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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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