The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.
Neagu, Mircea (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Neagu, Mircea (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Creţu, Ciprian (1997)
General Mathematics
Similarity:
W. Sarlet (1996)
Extracta Mathematicae
Similarity:
Ján Brajerčík (2011)
Czechoslovak Mathematical Journal
Similarity:
Let be a principal bundle of frames with the structure group . It is shown that the variational problem, defined by -invariant Lagrangian on , can be equivalently studied on the associated space of connections with some compatibility condition, which gives us order reduction of the corresponding Euler-Lagrange equations.
Manuel de León, David Martín de Diego (1996)
Extracta Mathematicae
Similarity:
Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.