The Relation Between the Associate Almost Complex Structure to $HM'$ and   $(HM',S,T)$-Cartan Connections
  In the present paper, the $(HM',S,T)$-Cartan connections on pseudo-Finsler manifolds, introduced by A. Bejancu and H.R. Farran, are obtained by the natural almost complex structure arising from the nonlinear connection $HM'$. We prove that the natural almost complex linear connection associated to a $(HM',S,T)$-Cartan connection is a metric linear connection with respect to the Sasaki metric $G$. Finally we give some conditions for $(M', J, G)$ to be a K\"ahler manifold. 
Ebrahim Esrafilian and Hamid Reza Salimi Moghaddam