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2009 Bernstein type theorems for minimal Lagrangian graphs of quaternion Euclidean space
Yuxin Dong, Yingbo Han, Qingchun Ji
Nagoya Math. J. 193: 155-167 (2009).

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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Yuxin Dong. Yingbo Han. Qingchun Ji. "Bernstein type theorems for minimal Lagrangian graphs of quaternion Euclidean space." Nagoya Math. J. 193 155 - 167, 2009.

Information

Published: 2009
First available in Project Euclid: 3 March 2009

zbMATH: 1161.53310
MathSciNet: MR2502912

Subjects:
Primary: 53A07 , 53A10 , 53C38

Keywords: Bernstein type theorem , minimal Lagrangian graphs , Quaternion Euclidean space

Rights: Copyright © 2009 Editorial Board, Nagoya Mathematical Journal

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Vol.193 • 2009
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