用李括号表示的对称性条件
Symmetry condition in terms of Lie brackets
摘要：
一个被动的正交系统的偏微分方程定义了一个子流形在相应的射流流形，协调所谓的参数导数。我们将全微分算子和演化向量场v的延拓限制在这个子流形上。我们表明，消失的？他们的residents是等价的V是一个广义对称的系统。
英文摘要：
A passive orthonomic system of PDEs defines a submanifold in the corresponding jet manifold, coordinated by so called parametric derivatives. We restrict the total differential operators and the prolongation of an evolutionary vector field v to this submanifold. We show that the vanishing of their commutators is equivalent to v being a generalized symmetry of the system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
