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Bernstein Type Theorems for Minimal Lagrangian Graphs of Quaternion Euclidean Space

Published online by Cambridge University Press:  11 January 2016

Yuxin Dong ,
Yingbo Han  and
Qingchun Ji
Yuxin Dong
Affiliation:
Department of Mathematics, Southeast University, Nanjing, 211189, P. R. China, yingbohan@163.com
Yingbo Han
Affiliation:
Department of Mathematics, Southeast University, Nanjing, 211189, P. R. China, yingbohan@163.com
Qingchun Ji
Affiliation:
Institute of Mathematics, Fudan University, Shanghai, 200433, P. R. China, And Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education, qingchunji@fudan.edu.cn
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Abstract

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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.

Keywords

53A1053A0753C38
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 193 , 2009 , pp. 155 - 167
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

References

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