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arxiv: 1204.4057 · v1 · pith:NGZKXOXTnew · submitted 2012-04-18 · 🧮 math.DG · math.AP

A Bernstein type theorem for graphic self-shrinkers with flat normal bundle

classification 🧮 math.DG math.AP
keywords bundleflatgraphicnormalresultbernsteincasecodimension
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In this note we will prove that an $n$ dimensional graphic self-shrinker in $R^{n+m}$ with flat normal bundle is a linear subspace. This result is a generalization of the corresponding result of Lu Wang in codimension one case.

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