论文标题
基于差异几何基本原理的相对论力学的一般变异公式
A general variational formulation for relativistic mechanics based on fundamentals of differential geometry
论文作者
论文摘要
本文的第一部分为相对论力学开发了一种变分。结果是通过变异分析和差异几何形状的标准工具确定的。这里的新颖性是主运动歧管具有$ N+1 $尺寸范围。在第一个近似中，我们忽略了自我交互能量部分。在其第二部分中，本文在一般时空歧管中发展了一些有关因果结构的形式主义。最后，上一篇文章部分介绍了有关世界表歧管分歧表述的广义解决方案的结果。
The first part of this article develops a variational formulation for relativistic mechanics. The results are established through standard tools of variational analysis and differential geometry. The novelty here is that the main motion manifold has a $n+1$ dimensional range. It is worth emphasizing in a first approximation we have neglected the self-interaction energy part. In its second part, this article develops some formalism concerning the causal structure in a general space-time manifold. Finally, the last article section presents a result concerning the existence of a generalized solution for the world sheet manifold variational formulation.
