Surfaces contracting with speed |A|^2
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2004
- DOI:
- arXiv:
- arXiv:math/0409388
- Bibcode:
- 2004math......9388S
- Keywords:
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- Mathematics - Differential Geometry;
- 53C44;
- 68W20;
- 35B40
- E-Print:
- 41 pages