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.
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页码：133 / 160
页数：28
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