Evolution of convex hypersurfaces by powers of the mean curvature

  • Felix Schulze (Freie Universität Berlin)
A3 01 (Sophus-Lie room)


We study the evolution of a closed, convex hypersurface in R^(n+1) in direction of its normal vector, where the speed equals a positive power k of the mean curvature. We show that the flow exists on a maximal, finite time interval, and that, approaching the final time, the surfaces contract to a point.

Katharina Matschke

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