| Title:
|
Remarks on local Lie algebras of pairs of functions (English) |
| Author:
|
Janyška, Josef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
3 |
| Year:
|
2018 |
| Pages:
|
687-709 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Starting by the famous paper by Kirillov, local Lie algebras of functions over smooth manifolds were studied very intensively by mathematicians and physicists. In the present paper we study local Lie algebras of pairs of functions which generate infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds. (English) |
| Keyword:
|
almost-cosymplectic-contact structure |
| Keyword:
|
almost-coPoisson-Jacobi structure |
| Keyword:
|
infinitesimal symmetry |
| Keyword:
|
local Lie algebra |
| MSC:
|
17B66 |
| MSC:
|
53B99 |
| MSC:
|
53C15 |
| idZBL:
|
Zbl 06986966 |
| idMR:
|
MR3851885 |
| DOI:
|
10.21136/CMJ.2017.0626-16 |
| . |
| Date available:
|
2018-08-09T13:11:41Z |
| Last updated:
|
2020-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147362 |
| . |
| Reference:
|
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| Reference:
|
[2] Janyška, J.: Special phase functions and phase infinitesimal symmetries in classical general relativity.AIP Conf. Proc. 1460, XX Internat. Fall Workshop on Geometry and Physics (2012), 135-140. 10.1063/1.4733369 |
| Reference:
|
[3] Janyška, J.: Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle.Arch. Math., Brno 50 (2014), 297-316. Zbl 1340.70017, MR 3303779, 10.5817/AM2014-5-297 |
| Reference:
|
[4] Janyška, J.: Relations between constants of motion and conserved functions.Arch. Math., Brno 51 (2015), 297-313. Zbl 06537732, MR 3449110, 10.5817/AM2015-5-297 |
| Reference:
|
[5] Janyška, J.: On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures.Arch. Math., Brno 52 (2016), 325-339. Zbl 06674908, MR 3610867, 10.5817/AM2016-5-325 |
| Reference:
|
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| Reference:
|
[7] Janyška, J., Modugno, M.: Geometric structures of the classical general relativistic phase space.Int. J. Geom. Methods Mod. Phys. 5 (2008), 699-754. Zbl 1116.53008, MR 2445392, 10.1142/S021988780800303X |
| Reference:
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[8] Janyška, J., Modugno, M.: Generalized geometrical structures of odd dimensional manifolds.J. Math. Pures Appl. (9) 91 (2009), 211-232. Zbl 1163.53051, MR 2498755, 10.1016/j.matpur.2008.09.007 |
| Reference:
|
[9] Janyška, J., Vitolo, R.: On the characterization of infinitesimal symmetries of the relativistic phase space.J. Phys. A, Math. Theor. 45 (2012), Article ID 485205, 28 pages. Zbl 1339.70036, MR 2998421, 10.1088/1751-8113/45/48/485205 |
| 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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| . |
