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28 March 2024
 
  » arxiv » math-ph/0105018

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A geometrical analysis of the field equations in field theory
A. Echeverr’{i}a-Enr’{i}quez ; M.C. Mu~noz-Lecanda ; N. Román-Roy ;
Date 15 May 2001
Journal Int.J.Math.Math.Sci. 29 (2002) 687-700
Subject Mathematical Physics; Differential Geometry MSC-class: 53C05, 53C80, 55R10, 55R99, 58A20, 70S05 | math-ph math.DG math.MP
AbstractIn 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.
Source arXiv, math-ph/0105018
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