DUAL JET GEOMETRICAL OBJECTS OF MOMENTA IN THE TIME-DEPENDENT HAMILTON GEOMETRY
MIRCEA NEAGU 1 AND ALEXANDRU OANĂ 2 1. Transilvania University of Brasov, Department of Mathematics and Computer Science, Blvd. Iuliu Maniu, No. 50, Bra¸sov 500091, ROMANIA
e-mail: mircea.neagu@unitbv.ro
2. Transilvania University of Brasov, Department of Mathematics and Computer Science, Blvd. Iuliu Maniu, No. 50, Bra¸sov 500091, ROMANIA
, alexandru.oana@unitbv.ro
The aim of this paper is to obtain on the dual 1-jet space J1* (R, M) the main geometrical objects used in the dual jet geometry of time-dependent Hamiltonians. We talk about dis-tinguished (d-) tensors, time-dependent semisprays, nonlinear connections and their math-ematical connections.
