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On Ecker's local integral quantity at infinity for ancient mean curvature flows

Published 20 May 2020 in math.DG | (2005.09845v2)

Abstract: We point out that Ecker's local integral quantity agrees with Huisken's global integral quantity at infinity for ancient mean curvature flows if Huisken's one is finite on each time-slice. In particular, this means that the finiteness of Ecker's integral quantity at infinity implies the finiteness of the entropy at infinity.

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