Mean curvature flow with surgery of mean convex surfaces in three-manifolds
Simon Brendle
Columbia University, New York, USAGerhard Huisken
Universität Tübingen, Germany
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Abstract
In a previous paper, we introduced a notion of mean curvature flow with surgery for embedded, mean convex surfaces in . 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.
Cite this article
Simon Brendle, Gerhard Huisken, Mean curvature flow with surgery of mean convex surfaces in three-manifolds. J. Eur. Math. Soc. 20 (2018), no. 9, pp. 2239–2257
DOI 10.4171/JEMS/811