Symmetries of vector exterior differential systems and the inverse problem in second-order Ostrohrads'kyj mechanics
arXiv:1406.5877 · doi:10.2991/jnmp.1997.4.1-2.9
Abstract
Symmetries of variational problems are considered as symmetries of vector bundle valued exterior differential systems. This approach is then applied to third order ordinary variational equations of motion of the semi-classical spinning particle.
MR1401574 (97h:58009); Proc. conf. Symmetry in nonlinear mathematical physics (Kyiv, Ukraine, July 3-8, 1995), Vol. 4; Corrected after publ.: Formula (15) and a few minor corrections