A note on stochastic calculus in vector bundles
  The aim of these notes is to relate covariant stochastic integration in a vector bundle $E$ (as in Norris \cite{Norris}) with the usual Stratonovich calculus via the connector $\K:TE \rightarrow E$ (cf. e.g. Paterson \cite{Paterson} or Poor \cite{Poor}) which carries the connection dependence. 
Pedro J. Catuogno, Diego S. Ledesma and Paulo R. Ruffino
math.DG