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On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2).
- Source :
-
Journal of Mathematical Physics . Nov2006, Vol. 47 Issue 11, p112902. 27p. 2 Charts. - Publication Year :
- 2006
-
Abstract
- The reduced Hamiltonian system on T*(SU(3)/SU(2)) is derived from a Riemannian geodesic motion on the SU(3) group manifold parametrized by the generalized Euler angles and endowed with a bi-invariant metric. Our calculations show that the metric defined by the derived reduced Hamiltonian flow on the orbit space SU(3)/SU(2)≃S5 is not isometric or even geodesically equivalent to the standard Riemannian metric on the five-sphere S5 embedded into R6. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 47
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 23321792
- Full Text :
- https://doi.org/10.1063/1.2358391