On second order minimal Lagrangian submanifolds in complex space forms

被引:0
作者
Dong, YX [1 ]
Lu, GZ
机构
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
来源
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2005年 / 48卷 / 11期
基金
中国国家自然科学基金;
关键词
exterior differential systems; minimal Lagrangian submanifold;
D O I
10.1360/04ys0197
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we determine all second order minimal Lagrangian submanifolds in complex space forms whose cubic forms have the largest non-trivial continuous symmetries. We describe these minimal Lagrangian submanifolds from the viewpoint of Bryant and study their geometric properties.
引用
收藏
页码:1505 / 1516
页数:12
相关论文
共 5 条
[1]  
BRYANT RL, 2000, MATHDG0007128
[2]   CALIBRATED GEOMETRIES [J].
HARVEY, R ;
LAWSON, HB .
ACTA MATHEMATICA, 1982, 148 :47-157
[3]  
IONEL M, 2003, MATHDG0303082
[4]  
JOYCE D, 2001, MATHDG0108088
[5]   Mirror symmetry is T-duality [J].
Strominger, A ;
Yau, ST ;
Zaslow, E .
NUCLEAR PHYSICS B, 1996, 479 (1-2) :243-259