On indefinite special Lagrangian submanifolds in indefinite complex Euclidean spaces

被引：11
|
作者：
Dong, Yuxin [1 ]
机构：
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2009年 / 59卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Calibrated geometry; Indefinite special Lagrangian submanifold; Indefinite complex Euclidean space; SMALL INITIAL DATA; GLOBAL EXISTENCE; SURFACES; EQUATIONS; TIME;
D O I：
10.1016/j.geomphys.2009.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show that the calibrated method can also be used to detect indefinite minimal Lagrangian submanifolds in C(k)(m). We introduce the notion of indefinite special Lagrangian submanifolds in C(k)(m) and generalize the well-known work of Harvey-Lawson to the indefinite case. (C) 2009 Elsevier B.V. All rights reserved.
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页码：710 / 726
页数：17
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