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Noether's theorem in multisymplectic geometry.
- Source :
-
Differential Geometry & its Applications . Feb2018, Vol. 56, p260-294. 35p. - Publication Year :
- 2018
-
Abstract
- We extend Noether's theorem to the setting of multisymplectic geometry by exhibiting a correspondence between conserved quantities and continuous symmetries on a multi-Hamiltonian system. We show that a homotopy co-momentum map interacts with this correspondence in a way analogous to the moment map in symplectic geometry. We apply our results to generalize the theory of the classical momentum and position functions from the phase space of a given physical system to the multisymplectic phase space. We also apply our results to manifolds with a torsion-free G 2 structure. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NOETHER'S theorem
*GEOMETRY
*PARTICLE physics
*MATHEMATICS
*MATHEMATICAL functions
Subjects
Details
- Language :
- English
- ISSN :
- 09262245
- Volume :
- 56
- Database :
- Academic Search Index
- Journal :
- Differential Geometry & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 128348276
- Full Text :
- https://doi.org/10.1016/j.difgeo.2017.09.003