- Volume 9 Issue 3
The notion of the almost Hermitian Finsler manifold admitting an almost complex structure $f^i_j(x)$ was, for the first time, introduced by G. B. Rizza . It is known that the almost Hermitian Finsler manifold (or a Rizza manifold) has been studied by Y. Ichijyo  and H. Hukui . In those papers, the almost Hermitian Finsler manifold which the h-covariant derivative of the almost complex structure $f^i_j(x)$ with respect to the Cartan's Finsler connection vanishes was defined as the Kaehlerian Finsler manifold. The nearly Kaehlerian Finsler manifold was defined and studied by the former of authors . The present paper is the continued study of above paper.