Hom-Lie algebroids and hom-left-symmetric algebroids

We give a notion of hom-left-symmetric algebroids, which are a generalization of hom-left symmetric algebras. We construct several examples of hom-Lie algebroids and hom-left-symmetric algebroids. Representations of hom-Lie algebroids and hom-left-symmetric algebroids are given. Furthermore, we study the cohomologies of hom-Lie algebroids and hom-left-symmetric algebroids.