2007•Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

Classification of Flat Lagrangian Surfaces in Complex Lorentzian Plane

Bang-Yen, Chen, Johan Johan, Fastenakels

Abstract

在从 Riemannian 几何观点的 Lagrangian submanifolds 的学习的最基本的问题之一是分类真实空间形式的 Lagrangian 沉浸进复杂空间形式。这份报纸的主要目的这样是在 Lorentzian 复杂飞机分类扁平的 Lagrangian 表面。我们的主要结果声明有扁平的 Lagrangian 表面的 38 个家庭在里面。相反地，每扁平的 Lagrangian 表面在对 38 个家庭之一局部地适合。关键词扁平的 Lagrangian 表面- Lorentzian 复杂飞机- Legendre 曲线先生( 2000 )题目分类 53D12 - 53C40 -当第二写作时，这篇文章的部分被做的 53C42 访问了密歇根州立大学，为科学研究佛兰德(比利时)( FWO )为资金助理的研究在研究资助下面支持了

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Key concepts: Lagrangian, Inverse problem for Lagrangian mechanics, Lagrangian relaxation, Mathematics, Lagrangian mechanics, Lagrangian system, Legendre polynomials, Mathematical analysis