Psuedoconnessioni di uno spazio fibrato vettoriale

Abstract

We can define a pseudoconnection of a vector bundle, we find properties analogous to those of a linear pseudoconnection on a differentiable manifold of class $C^∈fty$ and we obtain the parallel transport notion of fibres along opportune curves of the base space. Finally, for each $(r, s)∈ N²$ such that $(r, s)≠ (0, 0)$, we deal with the pseudoconnections of the vector bundle of the tenors of type $(r,s)$ on a differentiable manifold of class $C^∈fty$.