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arxiv: math-ph/0105018 · v1 · pith:ORBCNZKYnew · submitted 2001-05-15 · 🧮 math-ph · math.DG· math.MP

A geometrical analysis of the field equations in field theory

classification 🧮 math-ph math.DGmath.MP
keywords fieldequationsformulationgeometricalanalysisclassicaldiscussenables
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In this review paper we give a geometrical formulation of the field equations in the Lagrangian and Hamiltonian formalisms of classical field theories (of first order) in terms of multivector fields. This formulation enables us to discuss the existence and non-uniqueness of solutions, as well as their integrability.

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