标题： 线丛的对称性和时变非完整系统的诺特定理 显示英文标题

标题： Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems

摘要： 我们考虑由非退化1-形式特征线丛的截面定义的方程的诺特对称性以及相关扰动系统。 似乎这个框架可以用于有约束和非保守力的时间依赖系统，使得动量方程和诺特定理在一般形式下能够以非常简单和透明的方式表述。 显示英文摘要

摘要： We consider Noether symmetries of the equations defined by the sections of characteristic line bundles of nondegenerate 1-forms and of the associated perturbed systems. It appears that this framework can be used for time-dependent systems with constraints and nonconservative forces, allowing a quite simple and transparent formulation of the momentum equation and the Noether theorem in their general forms.