广义协变Hamilton系统的应用  

Applications of Generalized Covariant Hamiltonian System

作　　者：王根 WANG Gen(School of Mathematics and Science,Xiamen University,Fujian,Xiamen,361005)

机构地区：[1]厦门大学数学与科学学院,福建厦门361005

出　　处：《南阳师范学院学报》2021年第4期15-18,共4页Journal of Nanyang Normal University

摘　　要：鉴于广义结构Poisson括号包含几何括号,完善了广义Poisson括号,由它定义的广义协变Hamilton系统完善了广义Hamilton系统的理论缺陷,得到了广义协变Hamilton系统诱导出的局部坐标形式下测地线方程的一种,并给出了一个具体的算例.The Generalized structure Poisson brackets containing geometric parentheses have completed the Generalized Poisson parentheses.The generalized covariant Hamiltonian system defined by the generalized structure Poisson bracket has improved the theoretical defects of the generalized Hamiltonian system and obtains a kind of geodesic equation induced by the generalized covariant Hamiltonian system in the form of local coordinates.A concrete example is given in this paper.

关 键 词：广义HAMILTON系统 广义结构Poisson括号 广义协变Hamilton系统 测地线方程 

分 类 号：O174.5[理学—数学]