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On second order minimal Lagrangian submanifolds in complex space forms 被引量:1

On second order minimal Lagrangian submanifolds in complex space forms
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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. 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.
出处 《Science China Mathematics》 SCIE 2005年第11期1505-1516,共12页 中国科学:数学(英文版)
基金 supported by the National Natural Science Foundation of China(Grant Nos.10131020&19971075) U.S.Natural Science Foundation(Grant No.0500853).
关键词 EXTERIOR DIFFERENTIAL systems minimal LAGRANGIAN SUBMANIFOLD exterior differential systems, minimal Lagrangian submanifold.
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  • 1Reese Harvey,H. Blaine Lawson.Calibrated geometries[J].Acta Mathematica.1982(1)

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