| Title:
|
Relations between constants of motion and conserved functions (English) |
| Author:
|
Janyška, Josef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
51 |
| Issue:
|
5 |
| Year:
|
2015 |
| Pages:
|
297-313 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study relations between functions on the cotangent bundle of a spacetime which are constants of motion for geodesics and functions on the odd-dimensional phase space conserved by the Reeb vector fields of geometrical structures generated by the metric and an electromagnetic field. (English) |
| Keyword:
|
phase space |
| Keyword:
|
infinitesimal symmetry |
| Keyword:
|
hidden symmetry |
| Keyword:
|
gravitational contact phase structure |
| Keyword:
|
almost-cosymplectic-contact phase structure |
| Keyword:
|
Killing multi-vector field |
| Keyword:
|
Killing–Maxwell multi-vector field |
| Keyword:
|
function constant of motions |
| Keyword:
|
conserved function |
| MSC:
|
58A20 |
| MSC:
|
70G45 |
| MSC:
|
70H33 |
| MSC:
|
70H40 |
| MSC:
|
70H45 |
| idZBL:
|
Zbl 06537732 |
| idMR:
|
MR3449110 |
| DOI:
|
10.5817/AM2015-5-297 |
| . |
| Date available:
|
2016-01-11T10:09:55Z |
| Last updated:
|
2017-02-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144772 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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[7] Janyška, J.: Remarks on infinitesimal symmetries of geometrical structures of the classical phase space of general relativistic test particle.Int. J. Geom. Methods Mod. Phys. 12 (2015), 1560020. DOI: http://dx.doi.org/10.1142/S0219887815600208 MR 3400660, 10.1142/S0219887815600208 |
| Reference:
|
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| Reference:
|
[9] Janyška, J., Modugno, M.: Generalized geometrical structures of odd dimensional manifolds.J. Math. Pures Appl. (9) 91 (2009), 211–2332. DOI: http://dx.doi.org/10.1016/j.matpur.2008.09.007 Zbl 1163.53051, MR 2498755, 10.1016/j.matpur.2008.09.007 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
