Lagrangian Curves in a 4-Dimensional Affine Symplectic Space

被引：2

作者：

Musso, Emilio ^{[1
]}

Hubert, Evelyne ^{[2
]}

机构：

[1] Politecn Torino, Dept Math Sci, Turin, Italy

[2] INRIA Mediterranee, GALAAD, Sophia Antipolis, France

来源：

ACTA APPLICANDAE MATHEMATICAE | 2014年 / 134卷 / 01期

关键词：

Symplectic geometry; Lagrangian planes; Differential invariants; Moving frame; Lie group actions; RELATIVISTIC-PARTICLES; NULL CURVES; INVARIANTS; CURVATURE; TORSION; FLOWS;

D O I：

10.1007/s10440-014-9874-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Lagrangian curves in entertain intriguing relationships with second order deformation of plane curves under the special affine group and null curves in a 3-dimensional Lorentzian space form. We provide a natural affine symplectic frame for Lagrangian curves. It allows us to classify Lagrangian curves with constant symplectic curvatures, to construct a class of Lagrangian tori in and determine Lagrangian geodesics.

引用

页码：133 / 160

页数：28

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