Abstract
The nonlinear connections defined by K. Yano and Y.C. Wong et al on the tangent bundle are expanded to a nonlinear connection of fibre bundle, this connection on principal fibre bundle (p.f.b) is called formal connection. The classification of 2-rank tensor on p.f.b is discussed with the help of formal connection, and it is pointed out that if we take [grtrq] as a metric on p.f.b., then the relation between the metric and the formal connection is constracted, provided q is nonsingular. Finally, using the frame method we calculus the geodesic equation, which is equivalent to the equation of motion for a particle on the Kaluza's unified theory.
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