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arXiv · 1011.4868

Formal matched asymptotics for degenerate Ricci flow neckpinches

Sigurd B. Angenent·James Isenberg·Dan Knopf
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Abstract

Gu and Zhu have shown that Type-II Ricci flow singularities develop from nongeneric rotationally symmetric Riemannian metrics on $S^m$, for all $m\geq 3$. In this paper, we describe and provide plausibility arguments for a detailed asymptotic profile and rate of curvature blow-up that we predict such solutions exhibit.

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Sigurd B. Angenent, James Isenberg, Dan Knopf. 2010-11-22. Formal matched asymptotics for degenerate Ricci flow neckpinches. https://doi.org/10.1088/0951-7715%2F24%2F8%2F007

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