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arXiv · 1411.6642

Long-time behavior of 3 dimensional Ricci flow -- D: Proof of the main results

Richard H. Bamler
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Abstract

This is the fourth and last part of a series of papers on the long-time behavior of 3 dimensional Ricci flows with surgery. In this paper, we prove our main two results. The first result states that if the surgeries are performed correctly, then the flow becomes non-singular eventually and the curvature is bounded by $C t^{-1}$. The second result provides a qualitative description of the geometry as $t \to \infty$.

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Richard H. Bamler. 2017-01-22. Long-time behavior of 3 dimensional Ricci flow -- D: Proof of the main results. https://doi.org/10.2140/gt.2018.22.949

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