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where iV is the unit outward normal. This equation was first studied by Firey [Fi]. Later Tso [Ts] showed that the solution exists and stays smooth and strictly convex until t —* T for some time T when the diameter L shrinks to zero. Thus we can assume M shrinks to the origin 0. Recently Chow [Ch] proved an entropy and a Harnack estimate for this flow. We use these results to derive two useful corollaries.

Remarks on the entropy and Harnack estimates for the Gauss curvature flow