paper

On the non-Abelian Lie bracket and the generalized covariant Hamilton system

arXiv:1711.04629

Abstract

Based on the non-Abelian Lie algebra, a generalized geometric Lie bracket on vector space is proposed to further realize the generalized structural Poisson bracket, and then we briefly discuss the second order equations of the generalized covariant Hamilton system with respect to the time and coordinates and its simple application.

11 pages