RT Journal Article T1 Gauge-invariant variationally trivial problems on T∗M A1 Castrillón López, Marco A1 Muñoz Masqué, Jaime AB The paper presents some basic facts concerning the formulation of the gauge invariance property of the electromagnetic field in terms of differentiable manifolds. For example, the gauge potentials are identified as differential one-forms on the manifold. The Lagrangian densities invariant under the algebra of the infinitesimal gauge transformations are also disscussed. From the set of these Lagrangians, the class of variationally trivial Lagrangians is interpreted in terms of multivector fields on the ground manifold. PB American Institute of Physics SN 0022-2488 YR 1999 FD 1999 LK https://hdl.handle.net/20.500.14352/58912 UL https://hdl.handle.net/20.500.14352/58912 LA eng NO DLES DS Docta Complutense RD 11 jun 2025