Inventiones mathematicae

, Volume 138, Issue 1, pp 151–161

Gauss curvature flow: the fate of the rolling stones

  • Ben Andrews

DOI: 10.1007/s002220050344

Cite this article as:
Andrews, B. Invent. math. (1999) 138: 151. doi:10.1007/s002220050344


We prove Firey’s 1974 conjecture that convex surfaces moving by their Gauss curvature become spherical as they contract to points.

Mathematics Subject Classification (1991): 33K55, 35B65, 53A05, 58G11

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Ben Andrews
    • 1
  1. 1.Centre for Mathematics and its Applications, Australian National University, Canberra A.C.T. 0200, Australia (e-mail: