In this paper are constructed a series of geometrical objects on the 1-jet fibre bundle $J^1(T,M)$, which is a basic object in the study of classical and quantum field. Comment: 15 pages; Presented at Third Conference Of Balkan Society of Geometers, Politehnica University of Bucharest, 31 July-3 August, 2000; It is a pleasure for us to thank to Prof. Dr. D. Opris and to the reviewers of the
... [Show full abstract] Journal of the London Mathematical Society for their valuable comments upon the previous version of this paper