A geometrical analysis of the field equations in field theory (Q1607904)

The authors present a geometric formulation of the field equations in the Lagrangian and Hamiltonian theory of first order classical fields by employing multivector fields. This approach enables them to discuss the existence and non-uniqueness of solutions of the field equations, and the theory of integrability conditions. Contents include: an introduction, multivector fields and differentiable manifolds, Lagrangian equations in classical field theories, Hamiltonian equations in classical field theories, and conclusions.