论文标题
对称和减少 - 第一部分 - 泊松和符号图片
Symmetries and Reduction -- part I -- Poisson and symplectic picture
论文作者
论文摘要
与Dirac提出的类比原理一致,我们描述了减少经典动力学的一般环境,以及在还原中将对称性与运动常数连接的Noether定理的作用。这是两篇论文中的第一篇,它的重点是泊松内部的减少和符号形式主义。
Coherently with the principle of analogy suggested by Dirac, we describe a general setting for reducing a classical dynamics, and the role of the Noether theorem -- connecting symmetries with constants of the motion -- within a reduction. This is the first of two papers, and it focuses on the reduction within the Poisson and the symplectic formalism.