Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617744 | Journal of Mathematical Analysis and Applications | 2012 | 7 Pages |
Abstract
We prove some Bernstein-type rigidity theorems for complete submanifolds in a Euclidean space and space-like submanifolds of a Lorentzian space. In particular, we obtain a Bernstein rigidity theorem for complete minimal submanifolds of arbitrary codimension in Euclidean space.
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