The geometric intrinsic approach to Hojman symmetry is developed and use is made of the theory of the Jacobi last multipliers to find the corresponding conserved quantity for non divergence-free vector fields. The particular cases of autonomous Lagrangian and Hamiltonian systems are studied as well as the generalization of these results to normalizer vector fields of the dynamics. The nonautonomous cases, where normalizer vector fields play a relevant role, are also developed.

中文翻译：

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雅可比乘数和霍曼对称

发展了霍伊曼对称的几何内在方法，并利用雅可比最后乘子理论来找到非无散向量场的相应守恒量。研究了自主拉格朗日和哈密顿系统的特殊情况，并将这些结果推广到动力学的归一化向量场。还开发了规范化向量场发挥相关作用的非自治情况。