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arxiv: 1403.0235 · v3 · pith:KZVZW44Znew · submitted 2014-03-02 · 🧮 math.DG

Asymptotic behavior of Type III mean curvature flow on noncompact hypersurfaces

classification 🧮 math.DG
keywords curvatureflowmeanasymptoticbehaviorhypersurfacesmonotonicitynoncompact
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In this paper, we introduce a monotonicity formula for the mean curvature flow which is related to self-expanders. Then we use the monotonicity to study the asymptotic behavior of Type III mean curvature flow on noncompact hypersurfaces.

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