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A Bernstein type theorem for minimal volume preserving maps |
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| Authors: | Lei Ni |
| Affiliation: | Department of Mathematics, Stanford University, Stanford, California 94305 |
| Abstract: | We show that any minimal volume preserving map from the Euclidean plane into itself is a linear diffeomorphism. We derive this from a similar result on minimal diffeomorphisms. We also show that the classical Bernstein theorem on minimal graphs is a corollary of our result. |
| Keywords: | Minimal maps volume preserving lagrangian submanifolds |
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