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

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

2012-04-18

arxiv.org/abs/1204.4057v1

Mathematics

Differential Geometry

Scientific paper

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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