On the geometry of Randers manifolds (Q1396667)

As their name suggests, Randers metrics were introduced by G. Randers as a perturbation of Riemann metrics through 1-forms and named after him for the first time by R. S. Ingarden. Usually, these metrics are considered as particular cases of Finsler metrics. The paper under review starts with a more general framework consisting in \textit{Randers manifolds} studied in the pullback bundle formalism of tangent bundles. After checking a sufficient condition for a Randers manifold to be a Finsler one, all significant geometrical objects from Finsler geometry, namely the Riemann-Finsler metric, the canonical spray, the Barthel endomorphism, the Berwald connection, the Cartan tensors and the Cartan vector field are obtained in intrinsic (i.e. coordinate-free) expressions.