Geodesic
The nature of singularities in mean curvature flow of mean-convex sets
White, Brian1
1 Department of Mathematics, Stanford University, Stanford, California 94305-2060
Journal of the American Mathematical Society, Tome 16 (2003) no. 1, pp. 123-138

Voir la notice de l'article provenant de la source American Mathematical Society

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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