| Title:
|
Locally conformal cosymplectic manifolds and time-dependent Hamiltonian systems (English) |
| Author:
|
Chinea, Domingo |
| Author:
|
León, Manuel de |
| Author:
|
Marrero, Juan C. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
383-387 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that locally conformal cosymplectic manifolds may be seen as generalized phase spaces of time-dependent Hamiltonian systems. Thus we extend the results of I. Vaisman for the time-dependent case. (English) |
| Keyword:
|
cosymplectic manifold |
| Keyword:
|
locally conformal cosymplectic manifold |
| Keyword:
|
Hamiltonian systems |
| MSC:
|
37J99 |
| MSC:
|
53C15 |
| MSC:
|
58F05 |
| MSC:
|
70H05 |
| idZBL:
|
Zbl 0748.53016 |
| idMR:
|
MR1137800 |
| . |
| Date available:
|
2009-01-08T17:45:10Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116980 |
| . |
| Reference:
|
[1] Abraham R., Marsden J.: Foundations of Mechanics.$2^{nd}$ ed., Benjamin, New York, 1978. Zbl 0393.70001, MR 0515141 |
| Reference:
|
[2] Chinea D., Marrero J.C.: Locally conformal cosymplectic manifolds.preprint. Zbl 0748.53016 |
| Reference:
|
[3] Libermann P.: Sur les structures presque complexes et autres structures infinitésimales régulières.Bull. Soc. Math. France 83 (1955), 195-224. MR 0079766 |
| Reference:
|
[4] Libermann P., Marle Ch.: Symplectic Geometry and Analytical Mechanics.Reidel Publ., Dordrecht, 1987. Zbl 0643.53002, MR 0882548 |
| Reference:
|
[5] de León M., Rodrigues P.: Methods of Differential Geometry in Analytical Mechanics.NorthHolland Mathematical Studies No. 158, Amsterdam, 1989. |
| Reference:
|
[6] Takizawa S.: On contact structures of real and complex manifolds.Tôhoku Math. J. 15 (1963), 227-252. Zbl 0122.40704, MR 0157331 |
| Reference:
|
[7] Vaisman I: Locally conformal symplectic manifolds.Internat. J. Math. & Math. Sci. 8, 3 (1985), 521-536. Zbl 0585.53030, MR 0809073 |
| . |
