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 ${\mathrm{\nabla }}^V$ and the Chern tensor $P$.