The fundamental form of a homogeneous Lagrangian in two independent variables

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Saunders, D. J.¹  Crampin, M.² 

[1] Palacky Univ, Dept Algebra & Geometry, Olomouc 77900, Czech Republic

[2] Univ Ghent, Dept Math Phys & Astron, B-9000 Ghent, Belgium

关键词: Homogeneous Lagrangian;    Lepage equivalent;    Euler-Lagrange form;   

DOI  :  10.1016/j.geomphys.2010.06.005

来源: Elsevier

【 摘 要 】

We construct, for a homogeneous Lagrangian of arbitrary order in two independent variables, a differential 2-form with the property that it is closed precisely when the Lagrangian is null. This is similar to the property of the 'fundamental Lepage equivalent' associated with first-order Lagrangians defined on jets of sections of a fibred manifold. (c) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free