Surfaces contracting with speed |A|^2

Details Surfaces contracting with speed |A|^2 Surfaces contracting with speed |A|^2

2004-09-21

arxiv.org/abs/math/0409388v2

J. Differential Geom. 71 (2005), no. 3, 347-363 (short version)

Mathematics

Differential Geometry

41 pages; minor corrections

Scientific paper

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.

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