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tangent bundle; jet bundle; connection; natural operator.

References:

[1] D. Canarutto A. Jadczyk M. Modugno: **Quantum mechanics of a spin particle in a curved spacetime with absolute time**. Rep. on Math. Phys., 36, 1 (1995), 95–140. MR 1377229

[2] A. Jadczyk M. Modugno: **An outline of a new geometric approach to Galilei general relativistic quantum mechanics**. in C.N. Yang, M.L. Ge and X. W. Zhou editors, Proc. XXI Int. Conf. on Differential geometric methods in theoretical physics, Tianjin 5-9 June 1992, 543-556, Singapore, 1992, World Scientific.

[3] A. Jadczyk M. Modugno: **Galilei general relativistic quantum mechanics**. book manuscript, 1994.

[4] I. Kolář P. W. Michor J. Slovák: **Natural Operations in Differential Geometry**. Springer–Verlag, 1993. MR 1202431

[5] D. Krupka J. Janyška: **Lectures on Differential Invariants**. Folia Fac. Sci. Nat. Univ. Purkynianae Brunensis, Brno, 1990. MR 1108622

[6] L. Mangiarotti M. Modugno: **Connections and differential calculus on fibred manifolds**. Istituto di Matematica Applicata “G. Sansone”, Università di Firenze, 1989.

[7] A. Nijenhuis: **Natural bundles and their general properties**. Diff. Geom., in honour of K. Yano, Kinokuniya, Tokyo 1972, pp. 317–334. MR 0380862 | Zbl 0246.53018

[8] J. Slovák: **On the finite order of some operators**. Proc. Conf. Diff. Geom. and Its Appl. (communications), Brno 1986, Published by J. E. Purkyně University 1987, 283-294. MR 0923390