论文标题
不确定的拉格朗日人的差异设置,并带有仿射费用
A variational setting for an indefinite Lagrangian with an affine Noether charge
论文作者
论文摘要
我们引入了一个自主和无限lagrangian在有限尺寸歧管上的动作功能的变异设置。我们的基本假设是存在无限对称性的存在,该对称是其noe电荷是一种形式和函数的总和。我们的设置包括不同类型的Lorentz-Finsler Lagrangians,承认及时杀死矢量领域。
We introduce a variational setting for the action functional of an autonomous and indefinite Lagrangian on a finite dimensional manifold. Our basic assumption is the existence of an infinitesimal symmetry whose Noether charge is the sum of a one-form and a function. Our setting includes different types of Lorentz-Finsler Lagrangians admitting a timelike Killing vector field.