A Lagrangian or an affine Hamiltonian is called totally singular if it is defined by affine functions in highest velocities or momenta respectively. A natural duality relation between these Lagrangians and affine Hamiltonians is considered. The energy of a second order affine Hamiltonian is related with a dual corresponding Lagrangian of order one. Relations between the curves that are solutions of Euler and Hamilton equations of dual objects are also studied using semi-sprays. In order to… CONTINUE READING

Lagrangians and Hamiltonians on Affine Bundles and Higher Order Geometry, Proceedings of the VIIh International Conference Geometry and Topology of Manifolds, Banach Center Publications

P. Popescu, Marcela Popescu

Inst. of Mathematics, Polish Acad. of Sc…

2007

1 Excerpt

Leafwise

A. Manea

transversal and mixed 2-jets of bundles over…

2007

1 Excerpt

Manea , Leafwise , transversal and mixed 2 - jets of bundles over foliated manifolds