About: Geometry of Lax pairs: Particle motion and Killing-Yano tensors

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1103/PhysRevD.87.024002
Description	A geometric formulation of the Lax pair equation on a curved manifold is studied using the phase-space formalism. The corresponding (covariantly conserved) Lax tensor is defined and the method of generation of constants of motion from it is discussed. It is shown that when the Hamilton equations of motion are used, the conservation of the Lax tensor translates directly to the well-known Lax pair equation, with one matrix identified with components of the Lax tensor and the other matrix constructed from the (metric) connection. A generalization to Clifford objects is also discussed. Nontrivial examples of Lax tensors for geodesic and charged particle motion are found in spacetimes admitting a hidden symmetry of Killing-Yano tensors. A geometric formulation of the Lax pair equation on a curved manifold is studied using the phase-space formalism. The corresponding (covariantly conserved) Lax tensor is defined and the method of generation of constants of motion from it is discussed. It is shown that when the Hamilton equations of motion are used, the conservation of the Lax tensor translates directly to the well-known Lax pair equation, with one matrix identified with components of the Lax tensor and the other matrix constructed from the (metric) connection. A generalization to Clifford objects is also discussed. Nontrivial examples of Lax tensors for geodesic and charged particle motion are found in spacetimes admitting a hidden symmetry of Killing-Yano tensors. (en)
Title	Geometry of Lax pairs: Particle motion and Killing-Yano tensors Geometry of Lax pairs: Particle motion and Killing-Yano tensors (en)
skos:prefLabel	Geometry of Lax pairs: Particle motion and Killing-Yano tensors Geometry of Lax pairs: Particle motion and Killing-Yano tensors (en)
skos:notation	RIV/00216208:11320/13:10130692!RIV14-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA202/09/0772), P(GAP203/12/0118)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Krtouš, Pavel
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	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	76538
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/13:10130692
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	metrics; dimensions; separability; sitter space-time (en)
http://linked.open.../riv/klicoveSlovo	dimensions separability metrics sitter space-time
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[E40D960F065A]
http://linked.open...i/riv/nazevZdroje	Physical Review D - Particles, Fields, Gravitation and Cosmology
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Current problems of gravitation, general relativity and relativistic astrophysics Spacetimes and Fields in Higher Dimensional and Classical Gravity
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	87
http://linked.open...iv/tvurceVysledku	Cariglia, Marco Frolov, Valeri P. Krtouš, Pavel Kubizňák, David
http://linked.open...ain/vavai/riv/wos	000313001600006
issn	1550-7998
number of pages	13 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevD.87.024002
http://localhost/t...ganizacniJednotka	11320

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