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arxiv: 1011.4868 · v1 · pith:SJFXZEPInew · submitted 2010-11-22 · 🧮 math.DG · math.AP

Formal matched asymptotics for degenerate Ricci flow neckpinches

classification 🧮 math.DG math.AP
keywords flowricciargumentsasymptoticasymptoticsblow-upcurvaturedegenerate
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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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