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math.DG2013
Ricci flow neckpinches without rotational symmetry
James Isenberg, Dan Knopf, Natasa Sesum
We study "warped Berger" solutions $\big(\mc S^1\times\mc S^3,G(t)\big)$ of Ricci flow: generalized warped products with the metric induced on each fiber $\{s\}\times\mathrm{SU}(2)…
math.DG2013★ 15 cited
Universality in mean curvature flow neckpinches
Zhou Gang, Dan Knopf
We study noncompact surfaces evolving by mean curvature flow. Without any symmetry assumptions, we prove that any solution that is -close at some time to a standard neck will…