@article{10_21136_CMJ_1991_102503,
author = {Vondra, Alexandr},
title = {Natural dynamical connections},
journal = {Czechoslovak Mathematical Journal},
pages = {724--730},
year = {1991},
volume = {41},
number = {4},
doi = {10.21136/CMJ.1991.102503},
mrnumber = {1134961},
zbl = {0764.53019},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1991.102503/}
}
Vondra, Alexandr. Natural dynamical connections. Czechoslovak Mathematical Journal, Tome 41 (1991) no. 4, pp. 724-730. doi: 10.21136/CMJ.1991.102503
[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 | MR
[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
[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
[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
[6] A. Dekrét: Ordinary differential equations and connections. In Proc. Conf. Diff. Geom. and Its Appl., Brno 1989, pp. 27-32, 1990. | MR
[7] M. Doupovec, I. Kolář: Natural affinors on time-dependent Weil bundles. to appear. | MR
[8] D. J. Saunders: The Geometry of Jet Bundles. London Mathematical Society Lecture Note Series 142, Cambridge University Press, 1989. | MR | Zbl
[9] D. J. Saunders: Jet fields, connections and second-order differential equations. J. Phys. A: Math. Gen, 20: 3261-3270, 1987. | DOI | MR | Zbl
[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
[12] A. Vondra: Sprays and homogeneous connections on $R \times TM$. to appear. | MR | Zbl
Cité par Sources :