Bernstein Type Theorems For Minimal Lagrangian Graphs of Quaternion Euclidean space

2006/06/30 by Yuxin Dong, Dong, Yuxin, Yingbo Han +3
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.math/0606779

Abstract

In this paper, we prove some Bernstein type results for n-dimensional minimal Lagrangian graphs in quaternion Euclidean space Hⁿ≅ R⁴ⁿ. In particular, we also get a new Bernstein Theorem for special Lagrangian graphs in Cⁿ

Citations

• Calibrated geometries

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