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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer-Verlag

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DOI

10.1007/s11845-012-0849-y

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1432-1823

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Collapsing sequences of solutions to the Ricci flo

Authors: Bennett Chow David Glickenstein Peng Lu
Publish Date: 2006/05/25
Volume: 254, Issue: 1, Pages: 1-28
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Abstract

We study sequences of 3dimensional solutions to the Ricci flow with almost nonnegative sectional curvatures and diameters tending to infinity Such sequences may arise from the limits of dilations about singularities of Type IIb In particular we study the case when the sequence collapses which may occur when dilating about infinite time singularities In this case we classify the possible GromovHausdorff limits and construct 2dimensional virtual limits The virtual limits are constructed using Fukaya theory of the limits of local covers We then show that the virtual limit arising from appropriate dilations of a Type IIb singularity is always Hamiltons cigar soliton solution

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