Volume 25, issue 5 (2021)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions

Simon Brendle and Kyeongsu Choi

Geometry & Topology 25 (2021) 2195–2234
Abstract

We consider noncompact ancient solutions to the mean curvature flow in n+1 (n 3) which are strictly convex, uniformly two-convex, and noncollapsed. We prove that such an ancient solution is a rotationally symmetric translating soliton.

Keywords
mean curvature flow, ancient solution
Mathematical Subject Classification 2010
Primary: 53C44
References
Publication
Received: 16 December 2018
Revised: 11 February 2020
Accepted: 17 July 2020
Published: 3 September 2021
Proposed: Bruce Kleiner
Seconded: John Lott, Tobias H Colding
Authors
Simon Brendle
Department of Mathematics
Columbia University
New York, NY
United States
Kyeongsu Choi
School of Mathematics
Korea Institute for Advanced Study
Seoul
South Korea