RT Book, Section T1 Lie algebra pairing and the Lagrangian and Hamiltonian equations in gauge-invariant problems A1 Castrillón López, Marco A1 Muñoz Masqué, Jaime A2 Kowalski, Oldřich A2 Krupka, Demeter A2 Krupková, Olga A2 Slovák, Jan AB Let P → M be a principal G-bundle over a pseudo-Riemannian manifold (M, g). If G is semisimple, the Euler-Lagrange and the Hamilton-Cartan equations of the Yang-Mills Lagrangian defined by g are proved to remain unchanged if the Cartan-Killing metric is replaced by any other non-degenerate, adjoint-invariant bilinear form on the Lie algebra PB World Scientific Publishing Co SN 981-279-060-8 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/53286 UL https://hdl.handle.net/20.500.14352/53286 NO Proceedings of the 10th International Conference (DGA 2007) held in Olomouc, August 27–31, 2007 DS Docta Complutense RD 3 may 2024