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

Man-Chun Lee; John Man-shun Ma

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arXiv · 1709.00253

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

Man-Chun Lee·John Man-shun Ma

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Abstract

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 by Chen and Yin. 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.

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BibTeX RIS

Man-Chun Lee, John Man-shun Ma. 2019-02-03. Uniqueness Theorem for non-compact mean curvature flow with possibly unbounded curvatures. https://arxiv.org/abs/1709.00253

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