Mean curvature flow with surgery

Robert Haslhofer, Bruce Kleiner

Research output: Contribution to journalArticle

Abstract

We give a new proof for the existence of mean curvature flow with surgery of 2-convex hypersurfaces in ℝN. Our proof works for all N ≥ 3, including mean convex surfaces in ℝ3. We also derive a priori estimates for a more general class of flows in a local and flexible setting.

Original languageEnglish (US)
Pages (from-to)1591-1626
Number of pages36
JournalDuke Mathematical Journal
Volume166
Issue number9
DOIs
StatePublished - 2017

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Mean Curvature Flow
Surgery
Convex Surface
A Priori Estimates
Hypersurface
Class

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Mean curvature flow with surgery. / Haslhofer, Robert; Kleiner, Bruce.

In: Duke Mathematical Journal, Vol. 166, No. 9, 2017, p. 1591-1626.

Research output: Contribution to journalArticle

Haslhofer, Robert ; Kleiner, Bruce. / Mean curvature flow with surgery. In: Duke Mathematical Journal. 2017 ; Vol. 166, No. 9. pp. 1591-1626.
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