Geodesic
Mean curvature flow with surgery of mean convex surfaces in three-manifolds
Journal of the European Mathematical Society, Tome 20 (2018) no. 9, pp. 2239-2257.

Voir la notice de l'article provenant de la source EMS Press

In a previous paper, we introduced a notion of mean curvature flow with surgery for embedded, mean convex surfaces in R3. In this paper, we extend this construction to embedded, mean convex surfaces in a Riemannian three-manifold. Moreover, by combining our results with earlier work of Brian White, we are able to give a precise description of the longtime behavior of the surgically modified flow.
DOI : 10.4171/jems/811
Classification : 53-XX, 58-XX
Keywords: Mean curvature flow, singularities 
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     author = {Simon Brendle and Gerhard Huisken},
     title = {Mean curvature flow with surgery of mean convex surfaces in three-manifolds},
     journal = {Journal of the European Mathematical Society},
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Simon Brendle; Gerhard Huisken. Mean curvature flow with surgery of mean convex surfaces in three-manifolds. Journal of the European Mathematical Society, Tome 20 (2018) no. 9, pp. 2239-2257. doi : 10.4171/jems/811. http://geodesic.mathdoc.fr/articles/10.4171/jems/811/

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