DUAL JET GEOMETRICAL OBJECTS OF MOMENTA IN THE TIME-DEPENDENT HAMILTON GEOMETRY

MIRCEA NEAGU
Transilvania University of Brasov, Department of Mathematics and Computer Science, Blvd. Iuliu Maniu, No. 50, Bra¸sov 500091, ROMANIA

mircea.neagu@unitbv.ro
ALEXANDRU OANĂ
Transilvania University of Brasov, Department of Mathematics and Computer Science, Blvd. Iuliu Maniu, No. 50, Bra¸sov 500091, ROMANIA

alexandru.oana@unitbv.ro

Abstract

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.

Cuvinte cheie

dual 1-jet space d-tensors time-dependent semisprays of momenta nonlinear connections adapted bases