Identification of Dynamical Trajectories of a Particle of Variable Mass as Autoparallels

Veljko A. Vujičić

Comparison of tensorial equations of motion of a particle of variable mass with equations (4) of autoparallels in an $L_n$ furnishes the coefficients of connection of $L_n$ such that the autoparallels are trajectories of the particle. Analysis of (11) gives the conditions under which trajectories of the particle are geodesics in a riemannian space. Trajectories are identified, too, as autoparallels in a Weyl space. The forces considered in the papar are independent of velociti s.