Formal matched asymptotics for degenerate Ricci flow neckpinches

preprint2010arXivOpen access

Abstract

Gu and Zhu have shown that Type-II Ricci flow singularities develop from nongeneric rotationally symmetric Riemannian metrics on SmS^m, for all m≥3m\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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