A special nonlinear connection in second order geometry.
Classification of symmetries for higher order Lagrangian systems II: The non-autonomous case.
Classification of symmetries for higher order Lagrangian systems.
Comments on the dynamics of the Pais-Uhlenbeck oscillator.
Lagrangians and higher order tangent spaces.
Non-decomposable Nambu brackets
It is well-known that the Fundamental Identity (FI) implies that Nambu brackets are decomposable, i.e. given by a determinantal formula. We find a weaker alternative to the FI that allows for non-decomposable Nambu brackets, but still yields a Darboux-like Theorem via a Nambu-type generalization of Weinstein’s splitting principle for Poisson manifolds.
The variational principle for the uniform acceleration and quasi-spin in two dimensional space-time.
Totally singular Lagrangians and affine Hamiltonians.
Variational principles and symmetries on fibered multisymplectic manifolds
The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multisymplectic structure. Then, for the corresponding variational equations, conserved quantities (or, what is equivalent, conservation laws), symmetries, Cartan (Noether) symmetries, gauge symmetries and different versions of Noether's theorem are studied in this ambient. In this way, this constitutes a general geometric framework for all these topics that includes, as special...