Codimension two surfaces pinched by normal curvature evolving by mean curvature flow

  • Charles Baker

    Australian e-Health Research Centre, Health and Biosecurity, CSIRO, Level 5 UQ Health Science Building 901/16, RBWH, Herston, QLD, 4029, Australia
  • Huy The Nguyen

    School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, UK

Abstract

We prove that codimension two surfaces satisfying a nonlinear curvature condition depending on normal curvature smoothly evolve by mean curvature flow to round points.

Cite this article

Charles Baker, Huy The Nguyen, Codimension two surfaces pinched by normal curvature evolving by mean curvature flow. Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 6, pp. 1599–1610

DOI 10.1016/J.ANIHPC.2016.10.010