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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F13%3A10130692%21RIV14-GA0-11320___
rdf:type
skos:Concept n13:Vysledek
rdfs:seeAlso
http://dx.doi.org/10.1103/PhysRevD.87.024002
dcterms: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.
dcterms:title
Geometry of Lax pairs: Particle motion and Killing-Yano tensors Geometry of Lax pairs: Particle motion and Killing-Yano tensors
skos:prefLabel
Geometry of Lax pairs: Particle motion and Killing-Yano tensors Geometry of Lax pairs: Particle motion and Killing-Yano tensors
skos:notation
RIV/00216208:11320/13:10130692!RIV14-GA0-11320___
n13:predkladatel
n18:orjk%3A11320
n3:aktivita
n19:I n19:P
n3:aktivity
I, P(GA202/09/0772), P(GAP203/12/0118)
n3:cisloPeriodika
2
n3:dodaniDat
n8:2014
n3:domaciTvurceVysledku
n7:2070448
n3:druhVysledku
n21:J
n3:duvernostUdaju
n6:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
76538
n3:idVysledku
RIV/00216208:11320/13:10130692
n3:jazykVysledku
n17:eng
n3:klicovaSlova
metrics; dimensions; separability; sitter space-time
n3:klicoveSlovo
n4:separability n4:metrics n4:dimensions n4:sitter%20space-time
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[E40D960F065A]
n3:nazevZdroje
Physical Review D - Particles, Fields, Gravitation and Cosmology
n3:obor
n20:BE
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
4
n3:projekt
n14:GA202%2F09%2F0772 n14:GAP203%2F12%2F0118
n3:rokUplatneniVysledku
n8:2013
n3:svazekPeriodika
87
n3:tvurceVysledku
Cariglia, Marco Krtouš, Pavel Frolov, Valeri P. Kubizňák, David
n3:wos
000313001600006
s:issn
1550-7998
s:numberOfPages
13
n16:doi
10.1103/PhysRevD.87.024002
n11:organizacniJednotka
11320