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Remarks on multisymplectic reduction
- Source :
- Recercat. Dipósit de la Recerca de Catalunya, instname, UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC)
- Publication Year :
- 2017
-
Abstract
- The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for classical field theories with symmetries.<br />9 pages. The definition of bracket of Hamiltonian forms has been corrected (and an acknowledgment to Prof. C. Blacker has been added in the "Acknowledgments")
- Subjects :
- 57 Manifolds and cell complexes::57S Topological transformation groups [Classificació AMS]
Field theory (Physics)
Field (physics)
FOS: Physical sciences
Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC]
reduction
Geometria simplèctica
01 natural sciences
Reduction (complexity)
0103 physical sciences
70 Mechanics of particles and systems::70S Classical field theories [Classificació AMS]
53D05, 53D20, 55R10, 57M60, 57S25, 70S05, 70S10
Covariant transformation
Matemàtiques i estadística::Geometria::Geometria diferencial [Àrees temàtiques de la UPC]
Camps, Teoria dels (Física)
0101 mathematics
classical field theories
Mathematics::Symplectic Geometry
Mathematical Physics
Mathematical physics
Mathematics
Grups topològics
Topological transformation groups
010102 general mathematics
Symplectic geometry
Lie group
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
actions of Lie groups
Espais fibrats (Matemàtica)
53 Differential geometry::53D Symplectic geometry, contact geometry [Classificació AMS]
55 Algebraic topology::55R Fiber spaces and bundles [Classificació AMS]
Action (physics)
multisymplectic manifolds
Scheme (mathematics)
Homogeneous space
Fiber spaces (Mathematics)
010307 mathematical physics
momentum maps
Matemàtiques i estadística::Topologia [Àrees temàtiques de la UPC]
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Recercat. Dipósit de la Recerca de Catalunya, instname, UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC)
- Accession number :
- edsair.doi.dedup.....488a12ae372c5ae2262a8a603db32144