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

Published 18 Apr 2012 in math.DG and math.AP | (1204.4057v1)

Abstract: 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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