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arxiv: math-ph/9910018 · v1 · submitted 1999-10-13 · 🧮 math-ph · math.DS· math.MP

Canonical Reduction of Symplectic Structures for the Maxwell and Yang-Mills Equations. Part 1

classification 🧮 math-ph math.DSmath.MP
keywords reductioncanonicalequationsmaxwellstructuressymplecticyang-millsalgorithm
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The canonical reduction algorithm is applied to Maxwell and Yang-Mills equations considered as Hamiltonian systems on some fiber bundles with symplectic and connection structures. The minimum interaction principle proved to have geometric origin within the reduction method devised.

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