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arXiv · 1210.6872

Continuity of Ricci Flow Through Neck Pinch Singularities

Sajjad Lakzian
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Abstract

In this article, we consider the Angenent-Caputo-Knopf's Ricci Flow through neckpinch singularities. We will explain how one can see the A-C-K's Ricci flow through a neckpinch singularity as a flow of integral current spaces. We then prove the continuity of this weak flow with respect to the Sormani-Wenger Intrinsic Flat (SWIF) distance.

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BibTeXRIS

Sajjad Lakzian. 2012-10-25. Continuity of Ricci Flow Through Neck Pinch Singularities. https://arxiv.org/abs/1210.6872

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