Bernstein Type Theorems For Minimal Lagrangian Graphs of Quaternion Euclidean space

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 $C^n$

In this version, we only update the introduction and references. The main results and their proofs are same as those in the previous version