Title:
|
A property of connections of mechanical systems of higher order (English) |
Author:
|
Dekrét, Anton |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
43 |
Issue:
|
1 |
Year:
|
1993 |
Pages:
|
77-87 |
. |
Category:
|
math |
. |
MSC:
|
37J99 |
MSC:
|
70H03 |
idZBL:
|
Zbl 0771.58014 |
idMR:
|
MR1216270 |
. |
Date available:
|
2009-09-25T10:45:57Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129775 |
. |
Reference:
|
[1] DE ANDRÉS L. C., DE LEÓN M., RODRIGUES P. R.: Connections on tangent bundles of higher order.Demonstratio Math. XXII (1989), 607-632. Zbl 0701.53050, MR 1041903 |
Reference:
|
[2] CRAMPIN M.: Alternative Lagrangians in particle dynamics.In: Proc. of Conf. Diff. Geom. and its Appl., Brno 1986, J. E. P. University, Brno, 1987, pp. 1-12. MR 0923340 |
Reference:
|
[3] DEKRÉT A.: Ordinary differential equations and connections.In: Proc. of Conf. Diff. Geom. and Appl., Brno 1989, World Scientific, Singapore, 1990, pp. 27-32. MR 1062002 |
Reference:
|
[4] DEKRÉT A.: Mechanical structures and connections.In: Proc. of Conf. Diff. Geom. and Appl., Dubrovnik 1988, University of Novi Sad, Novi Sad, 1989, pp. 121-131. MR 1040061 |
Reference:
|
[5] DEKRÉT A.: Connections deduced from mechanical system of second order.In: Proc. of Colloquium of Diff. Geom., Eger (Hungary) 1989, Soc. J. Bolyai, Budapest, 1992, pp. 201-213. MR 1211657 |
Reference:
|
[6] KLEIN J.: Espaces variationnels et mechanique.Ann. Inst. Fourier (Grenoble) 12 (1962), 1-124. MR 0215269 |
Reference:
|
[7] KLEIN J.: Almost symplectic structures in dynamics.In: Proc. of Conf. Diff. Geom. and its Appl., Brno 1986, J. E. P. University, Brno, 1987, pp. 79-90. MR 0923345 |
Reference:
|
[8] DE LEÓN M., RODRIGUES P. R.: Generalized Classical Mechanics and Field Theory.North-Holland Math. Stud. 112, North-Holland, Amsterdam-New York, 1985. Zbl 0581.58015, MR 0808964 |
Reference:
|
[9] TULCZYJEW W.: Sur la differential de Lagrange.C. R. Acad. Sci. Paris Ser. I 280 (1975), 1295-1298. MR 0377987 |
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