| Title:
|
Natural dynamical connections (English) |
| Author:
|
Vondra, Alexandr |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
724-730 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| MSC:
|
70H35 |
| idZBL:
|
Zbl 0764.53019 |
| idMR:
|
MR1134961 |
| DOI:
|
10.21136/CMJ.1991.102503 |
| . |
| Date available:
|
2008-06-09T15:42:45Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102503 |
| . |
| Reference:
|
[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. MR 0748776, 10.1088/0305-4470/17/7/011 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[4] M. de León, P. R. Rodrigues: Dynamical connections and nonautonomous Lagrangian systems.Ann. Fac. Sci. Toulouse, IX: 171-181, 1988. |
| Reference:
|
[5] M. de León, P. R. Rodrigues: Generalized Classical Mechanics and Field Theory.North-Holland, 1985. MR 0808964 |
| Reference:
|
[6] A. Dekrét: Ordinary differential equations and connections.In Proc. Conf. Diff. Geom. and Its Appl., Brno 1989, pp. 27-32, 1990. MR 1062002 |
| Reference:
|
[7] M. Doupovec, I. Kolář: Natural affinors on time-dependent Weil bundles.to appear. MR 1189217 |
| Reference:
|
[8] D. J. Saunders: The Geometry of Jet Bundles.London Mathematical Society Lecture Note Series 142, Cambridge University Press, 1989. Zbl 0665.58002, MR 0989588 |
| Reference:
|
[9] D. J. Saunders: Jet fields, connections and second-order differential equations.J. Phys. A: Math. Gen, 20: 3261-3270, 1987. Zbl 0627.70013, MR 0914055, 10.1088/0305-4470/20/11/029 |
| Reference:
|
[10] A. Vondra: On some connections related to the geometry of regular higher-order dynamics.preprint. |
| Reference:
|
[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 |
| Reference:
|
[12] A. Vondra: Sprays and homogeneous connections on $R \times TM$.to appear. Zbl 0790.53028, MR 1222283 |
| . |
