JP Journal of Geometry and Topology
Volume 11, Issue 2, Pages 101 - 116
(July 2011)
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EVOLUTION OF CONVEX HYPERSURFACES BY
Liju Yu and Yingbo Han
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Abstract:
We consider closed convex hypersurfaces moving in Euclidean space with normal velocity equal to  We obtain a monotone formula, which is similar to that on the flow by powers of the mean curvature. We then show that the flow shrinks to a point in finite time. |
| Keywords and phrases: curvature flow, convexity, parabolic equation, monotone formula. |
| Communicated by Yasuo Matsushita |
| Number of Downloads: 264 | Number of Views: 690 |
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