Notes on the extension of the mean curvature flow

Yan Leng, Entao Zhao and Haoran Zhao

Vol. 269 (2014), No. 2, 385–392

DOI: 10.2140/pjm.2014.269.385

Abstract

In this paper, we present several new curvature conditions that assure the extension of the mean curvature flow on a finite time interval, which improve some known extension theorems.

Keywords

Mean curvature flow, extension, blow-up method, volume expansion

Mathematical Subject Classification 2010

Primary: 53C44

Milestones

Received: 25 March 2013

Revised: 11 September 2013

Accepted: 23 October 2013

Published: 26 July 2014