Precise asymptotics of the Ricci flow neckpinch

Details Precise asymptotics of the Ricci flow neckpinch Precise asymptotics of the Ricci flow neckpinch

2005-11-09

arxiv.org/abs/math/0511247v1

Mathematics

Differential Geometry

Scientific paper

The best known finite-time local Ricci flow singularity is the neckpinch, in which a proper subset of the manifold becomes geometrically close to a portion of a shrinking cylinder. In this paper, we prove precise asymptotics for rotationally symmetric Ricci flow neckpinches. We then compare these rigorous results with formal matched asymptotics for fully general neckpinch singularities.

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