Tulczyjew三元组：从静力学到场论
Tulczyjew triples: from statics to field theory
摘要：
基于Tulczyjew三元组的思想，我们提出了一种求解物理学动力学方程的几何方法。我们显示这些概念的演变，从根源在于在变分静力学，通过拉格朗日和哈密顿力学，并与经典场论的Tulczyjew三元组，说明了一些重要的例子。
英文摘要：
We propose a geometric approach to dynamical equations of physics, based on the idea of the Tulczyjew triple. We show the evolution of these concepts, starting with the roots lying in the variational calculus for statics, through Lagrangian and Hamiltonian mechanics, and concluding with Tulczyjew triples for classical field theories, illustrated with a numer of important examples.
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。
