Corrigendum to "Chern connection of a pseudo-Finsler metric as a family   of affine connections"
  In this note, we give the correct statements of [2,Proposition 3.3 and Theorem 3.4] and a formula of the Chern curvature in terms of the curvature tensor $R^V$ of the affine connection $\nabla^V$ and the Chern tensor $P$. 
Miguel Angel Javaloyes
math.DG