A Bernstein type theorem of ancient solutions to the mean curvature flow

Kunikawa, Keita

doi:10.1090/proc/12802

A Bernstein type theorem of ancient solutions to the mean curvature flow
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Proc. Amer. Math. Soc. 144 (2016), 1325-1333 Request permission

Abstract:

We derive a curvature estimate for the entire graphic solution to the mean curvature flow. As a consequence we show a Bernstein type theorem for ancient solutions (or eternal solutions) to the mean curvature flow.

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