Formal matched asymptotics for degenerate Ricci flow neckpinches

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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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