About: On the characterization of infinitesimal symmetries of the relativistic phase space

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://iopscience.iop.org/1751-8121/45/48/485205
Description	The phase space of relativistic particle mechanics is defined as the first jet space of motions regarded as time-like one-dimensional submanifolds of spacetime. A Lorentzian metric and an electromagnetic 2-form define naturally a generalized contact structure on the odd-dimensional phase space. In the paper, infinitesimal symmetries of the phase structures are characterized. More precisely, it is proved that all phase infinitesimal symmetries are special Hamiltonian lifts of distinguished conserved quantities on the phase space. It is proved that generators of infinitesimal symmetries constitute a Lie algebra with respect to a special bracket. A momentum map for groups of symmetries of the geometric structures is provided. The phase space of relativistic particle mechanics is defined as the first jet space of motions regarded as time-like one-dimensional submanifolds of spacetime. A Lorentzian metric and an electromagnetic 2-form define naturally a generalized contact structure on the odd-dimensional phase space. In the paper, infinitesimal symmetries of the phase structures are characterized. More precisely, it is proved that all phase infinitesimal symmetries are special Hamiltonian lifts of distinguished conserved quantities on the phase space. It is proved that generators of infinitesimal symmetries constitute a Lie algebra with respect to a special bracket. A momentum map for groups of symmetries of the geometric structures is provided. (en)
Title	On the characterization of infinitesimal symmetries of the relativistic phase space On the characterization of infinitesimal symmetries of the relativistic phase space (en)
skos:prefLabel	On the characterization of infinitesimal symmetries of the relativistic phase space On the characterization of infinitesimal symmetries of the relativistic phase space (en)
skos:notation	RIV/00216224:14310/12:00057828!RIV13-GA0-14310___
http://linked.open...avai/predkladatel	Přírodovědecká fakulta
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/09/0981)
http://linked.open...iv/cisloPeriodika	48
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Janyška, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	156363
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/12:00057828
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Relativistic mechanics; jets of submanifolds; nonlinear connections; contact forms; cosymplectic forms; infinitesimal symmetries (en)
http://linked.open.../riv/klicoveSlovo	Relativistic mechanics contact forms cosymplectic forms infinitesimal symmetries jets of submanifolds nonlinear connections
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[5F326F1DAEB5]
http://linked.open...i/riv/nazevZdroje	Journal of Physics A: Mathematical and Theoretical
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Global Analysis and the Geometry of Fibred Spaces
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	45
http://linked.open...iv/tvurceVysledku	Janyška, Josef Vitolo, Raffaele
http://linked.open...ain/vavai/riv/wos	000311337400010
issn	1751-8113
number of pages	28 (xsd:int)
http://bibframe.org/vocab/doi	10.1088/1751-8113/45/48/485205
http://localhost/t...ganizacniJednotka	14310
is http://linked.open...avai/riv/vysledek of	On the characterization of infinitesimal symmetries of the relativistic phase space

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