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Showing 2009 · math.DGShow all
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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
Existence of Good Sweepouts on Closed Manifolds
Longzhi Lin, Lu Wang
In this note we establish estimates for the harmonic map heat flow from into a closed manifold, and use it to construct sweepouts with the following good property: each curve…