| JANYŠKA, Josef. Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle. International Journal of Geometrical Methods in Modern Physics. World Scientific, 2014, vol. 11, No 7, p. "nestrankovano", 31 pp. ISSN 0219-8878. Available from: https://dx.doi.org/10.1142/S0219887814600202. |
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@article{1195784,
author = {Janyška, Josef},
article_number = {7},
doi = {http://dx.doi.org/10.1142/S0219887814600202},
keywords = {Spacetime; phase space; dynamical connection; dynamical 2-form; dynamical 2-vector; almost-cosymplectic–contact structure; almost-coPoisson–Jacobi structure; contact structure; Jacobi structure; special phase function; special bracket},
language = {eng},
issn = {0219-8878},
journal = {International Journal of Geometrical Methods in Modern Physics},
title = {Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle},
url = {http://www.worldscientific.com/doi/abs/10.1142/S0219887814600202},
volume = {11},
year = {2014}
}
TY - JOUR
ID - 1195784
AU - Janyška, Josef
PY - 2014
TI - Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle
JF - International Journal of Geometrical Methods in Modern Physics
VL - 11
IS - 7
SP - "nestrankovano"
EP - "nestrankovano"
PB - World Scientific
SN - 02198878
KW - Spacetime
KW - phase space
KW - dynamical connection
KW - dynamical 2-form
KW - dynamical 2-vector
KW - almost-cosymplectic–contact structure
KW - almost-coPoisson–Jacobi structure
KW - contact structure
KW - Jacobi structure
KW - special phase function
KW - special bracket
UR - http://www.worldscientific.com/doi/abs/10.1142/S0219887814600202
L2 - http://www.worldscientific.com/doi/abs/10.1142/S0219887814600202
N2 - The classical phase space of general relativistic classical test particle (here called, for short, "phase space") is defined as the first jet space of motions regarded as timelike one-dimensional submanifolds of spacetime. By the projectability assumption, we define the subsheaf of special phase functions with a special Lie bracket and we compare the Lie algebra of special phase functions with the structures obtained on the phase space by the standard Hamiltonian approach.
ER -
JANYŠKA, Josef. Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle. \textit{International Journal of Geometrical Methods in Modern Physics}. World Scientific, 2014, vol.~11, No~7, p.~''nestrankovano'', 31 pp. ISSN~0219-8878. Available from: https://dx.doi.org/10.1142/S0219887814600202.
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