On Graphic Bernstein Type Results in Higher Codimension
نویسنده
چکیده
Let Σ be a minimal submanifold of Rn+m that can be represented as the graph of a smooth map f : R 7→ R. We apply a formula we derived in the study of mean curvature flow to obtain conditions under which Σ must be an affine subspace. Our result covers all known ones in the general case. The conditions are stated in terms of the singular values of df .
منابع مشابه
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