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Mathematics  2006 

Bernstein Type Theorems For Minimal Lagrangian Graphs of Quaternion Euclidean space

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Abstract:

In this paper, we prove some Bernstein type results for $n$-dimensional minimal Lagrangian graphs in quaternion Euclidean space $H^n\cong R^{4n}$. In particular, we also get a new Bernstein Theorem for special Lagrangian graphs in $C^n$

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