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<title>John Man Shun Ma — Neckpinch</title><link>https://neckpinch.com/authors/john-man-shun-ma/</link><description>New arXiv papers by John Man Shun Ma, from Neckpinch</description>
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<item><title>Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds</title><link>https://neckpinch.com/papers/2410.22904/</link><guid isPermaLink="false">arxiv:2410.22904</guid><pubDate>Wed, 30 Oct 2024 00:00:00 GMT</pubDate><description>Dasong Li, John Man Shun Ma — In this paper we prove two backward uniqueness theorems for extrinsic geometric flow of possibly non-compact hypersurfaces in general ambient complete Riemannian manifolds. These are applicable to a wide range of extrinsic geometric flow, including the mean curvature flow, inverse mean curvature flow, Gauss curvature flow and so on.</description><category>Mean curvature flow</category><category>Other curvature flows</category><category>Inverse mean curvature flow</category><category>Gauss curvature flow</category><category>Stability &amp; uniqueness</category><category>Boundaries &amp; non-compact</category></item>
<item><title>Rigidity results for mean curvature flow graphical translators moving in non-graphical direction</title><link>https://neckpinch.com/papers/2210.03707/</link><guid isPermaLink="false">arxiv:2210.03707</guid><pubDate>Fri, 07 Oct 2022 00:00:00 GMT</pubDate><description>John Man Shun Ma, Yuan Shyong Ooi, Juncheol Pyo — In this paper, we study the rigidity results of complete graphical translating hypersurfaces when the translating direction is not in the graphical direction. We proved that any entire graphical translating surface in the translating direction not parallel to the graphical one is flat if either the translating surface is mean convex or the entropy of the translating surface is smaller than 2. For higher dimensional case, we show that the same conclusion holds if the graphical translating hypersurface satisfies certain growth condition.</description><category>Mean curvature flow</category><category>Self-shrinkers &amp; translators</category><category>Stability &amp; uniqueness</category></item>
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