Duke Mathematical Journal
- Duke Math. J.
- Volume 166, Number 9 (2017), 1591-1626.
Mean curvature flow with surgery
We give a new proof for the existence of mean curvature flow with surgery of -convex hypersurfaces in . Our proof works for all , including mean convex surfaces in . We also derive a priori estimates for a more general class of flows in a local and flexible setting.
Duke Math. J., Volume 166, Number 9 (2017), 1591-1626.
Received: 27 July 2015
Revised: 22 September 2016
First available in Project Euclid: 23 February 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Secondary: 35K93: Quasilinear parabolic equations with mean curvature operator 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60]
Haslhofer, Robert; Kleiner, Bruce. Mean curvature flow with surgery. Duke Math. J. 166 (2017), no. 9, 1591--1626. doi:10.1215/00127094-0000008X. https://projecteuclid.org/euclid.dmj/1487818918