On an extention of the H^k mean curvature flow of closed convex hypersurfaces

Details On an extention of the H^k mean curvature flow of closed convex hypersurfaces On an extention of the H^k mean curvature flow of closed convex hypersurfaces

2011-04-20

arxiv.org/abs/1104.3906v1

Mathematics

Differential Geometry

6 pages

Scientific paper

In this paper we prove that the H^k (k is odd and larger than 2) mean
curvature flow of a closed convex hypersurface can be extended over the maximal
time provided that the total L^p integral of the mean curvature is finite for
some p

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