VALER NIMINEŢ, OTILIA LUNGU 1. Department of Mathematics and Informatics, Faculty of Sciences, “Vasile Alecsandri” University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA, e-mail: valern@ub.ro
2. Department of Mathematics and Informatics, Faculty of Sciences, “Vasile Alecsandri” University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA, e-mail: otilia.lungu@ub.ro
We continue the investigation of the generalized Lagrange spaces [4] with the case when Fⁿ is a locally Minkowski space. Moreover, we generalize the GL-metric γιφ(ψ) and give the canonical metric connections.