Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures

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  • Man Chun Lee
  • John Man Shun Ma

In this paper, we discuss uniqueness and backward uniqueness for mean curvature flow of non-compact manifolds. We use an energy argument to prove two uniqueness theorems for mean curvature flow with possibly unbounded curvatures. These generalize the results in [5]. Using similar method, we also obtain a uniqueness result on Ricci flows. A backward uniqueness theorem is also proved for mean curvature flow with bounded curvatures.

Original languageEnglish
JournalCommunications in Analysis and Geometry
Volume29
Issue number6
Pages (from-to)1475-1508
ISSN1019-8385
DOIs
Publication statusPublished - 2021

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