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Uniqueness of the bowl soliton

Robert Haslhofer
Geometry & Topology 19 (2015) 2393–2406
DOI: 10.2140/gt.2015.19.2393
Abstract

We prove that any translating soliton for the mean curvature flow that is noncollapsed and uniformly 2–convex must be the rotationally symmetric bowl soliton. In particular, this proves a conjecture of White and Wang in the 2–convex case in arbitrary dimension.

Keywords
mean curvature flow, translating solitons, noncollapsing
Mathematical Subject Classification 2010
Primary: 53C44
References
Publication
Received: 15 August 2014
Accepted: 11 December 2014
Published: 29 July 2015
Proposed: Tobias H Colding
Seconded: John Lott, Bruce Kleiner
Authors
Robert Haslhofer
Courant Institute of Mathematical Sciences
New York University
251 Mercer Street
New York, NY 10012
USA