[1] M. Crampin G. E. Prince, and G. Thompson:
A geometrical version of the Helmholtz conditions in time dependent Lagrangian dynamics. J. Phys. A: Math. Gen., 17: 1437- 1447, 1984.
DOI 10.1088/0305-4470/17/7/011 |
MR 0748776
[2] L. C. de Andres M. de León, and P. R. Rodrigues:
Connections on tangent bundles of higher order. Demonstratio Mathematica, 22(3): 607-632, 1989.
MR 1041903
[3] L. C. de Andres M. de León, and P. R. Rodrigues:
Connections on tangent bundles of higher order associated to regular Lagrangians. Geometriae Dedicata, 39: 12-18, 1991.
MR 1116206
[4] M. de León, P. R. Rodrigues: Dynamical connections and nonautonomous Lagrangian systems. Ann. Fac. Sci. Toulouse, IX: 171-181, 1988.
[5] M. de León, P. R. Rodrigues:
Generalized Classical Mechanics and Field Theory. North-Holland, 1985.
MR 0808964
[6] A. Dekrét:
Ordinary differential equations and connections. In Proc. Conf. Diff. Geom. and Its Appl., Brno 1989, pp. 27-32, 1990.
MR 1062002
[7] M. Doupovec, I. Kolář:
Natural affinors on time-dependent Weil bundles. to appear.
MR 1189217
[8] D. J. Saunders:
The Geometry of Jet Bundles. London Mathematical Society Lecture Note Series 142, Cambridge University Press, 1989.
MR 0989588 |
Zbl 0665.58002
[10] A. Vondra: On some connections related to the geometry of regular higher-order dynamics. preprint.
[11] A. Vondra:
Semisprays, connections and regular equations in higher-order mechanics. In Proc. Conf. Diff. Geom. and Its Appl., Brno 1989, pp. 276-287, 1990.
MR 1062030