Geodesic
The nature of singularities in mean curvature flow of mean-convex sets
White, Brian 1
1 Department of Mathematics, Stanford University, Stanford, California 94305-2060
Journal of the American Mathematical Society, Tome 16 (2003) no. 1, pp. 123-138 Cet article a éte moissonné depuis la source American Mathematical Society

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This paper analyzes the singular behavior of the mean curvature flow generated by the boundary of the compact mean-convex region of $\mathbf {R}^{n+1}$ or of an $(n+1)$-dimensional riemannian manifold. If $n7$, the moving boundary is shown to be very nearly convex in a spacetime neighborhood of any singularity. In particular, the tangent flows at singular points are all shrinking spheres or shrinking cylinders. If $n\ge 7$, the same results are shown up to the first time that singularities occur.
DOI : 10.1090/S0894-0347-02-00406-X

White, Brian  1

1 Department of Mathematics, Stanford University, Stanford, California 94305-2060 
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White, Brian. The nature of singularities in mean curvature flow of mean-convex sets. Journal of the American Mathematical Society, Tome 16 (2003) no. 1, pp. 123-138. doi: 10.1090/S0894-0347-02-00406-X

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