论文标题
时空外部演算简介
An Introduction to Space-Time Exterior Calculus
论文作者
论文摘要
提出了时空多生的外部微积分的基本概念：内部和外部产品，内部和外部衍生物，超出表面上的方向积分，多站场的循环和通量。分别得出了两个将外部和内部衍生物与循环和通量相关的Stokes定理。作为一种应用，可以显示电磁麦克斯韦方程的外观时空时空公式和洛伦兹力如何以差异和积分形式恢复标准载体 - 钙符号制剂。
The basic concepts of exterior calculus for space-time multivectors are presented: interior and exterior products, interior and exterior derivatives, oriented integrals over hypersurfaces, circulation and flux of multivector fields. Two Stokes theorems relating the exterior and interior derivatives with circulation and flux respectively are derived. As an application, it is shown how the exterior-calculus space-time formulation of the electromagnetic Maxwell equations and Lorentz force recovers the standard vector-calculus formulations, in both differential and integral forms.
