  By a Randers' structure on a manifold $M$ we mean a Finsler structure
$L^*=L+\alpha$, where $L$ is a Riemannian structure and $\alpha$ is a 1-form on
$M$. This structure was first introduced by Randers ~\cite{[8]} from the
standpoint of general relativity. In this paper, we replace $L$ by a Finsler
structure, calling the resulting manifold a generalized Randers manifold. On
one hand, we develop in some depth generalized Randers manifolds. On the other
hand, we apply the results obtained in a foregoing paper ~\cite{[12]} to
generalized Randers manifolds to obtain some new results in that domain. Among
many results, we establish a necessary and sufficient condition for a
generalized Randers manifold to be a general Landsberg manifold. It should be
noticed that our approach is in general a global one.
