English

Surfaces contracting with speed |A|^2

Differential Geometry 2007-05-23 v2

Abstract

We show that strictly convex surfaces contracting with normal velocity equal to |A|^2 shrink to a point in finite time. After appropriate rescaling, they converge to spheres. We indicate how we used a computer to find the main test function.

Cite

@article{arxiv.math/0409388,
  title  = {Surfaces contracting with speed |A|^2},
  author = {Oliver C. Schnürer},
  journal= {arXiv preprint arXiv:math/0409388},
  year   = {2007}
}

Comments

41 pages; minor corrections