40 citations · 156 across the 15 of their papers we have counts for
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math.DG2009★ 40 cited
Generic mean curvature flow I; generic singularities
Tobias H. Colding, William P. Minicozzi
It has long been conjectured that starting at a generic smooth closed embedded surface in R^3, the mean curvature flow remains smooth until it arrives at a singularity in a neighbo…
math.DG2009★ 11 cited
Smooth compactness of self-shrinkers
Tobias H. Colding, William P. Minicozzi
We prove a smooth compactness theorem for the space of embedded self-shrinkers in $\RR^3$. Since self-shrinkers model singularities in mean curvature flow, this theorem can be thou…