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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