On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)
Gerdt, V. ; Horan, R. ; Khvedelidze, A. ; Lavelle, M. ; McMullan, D. ; Palii, Yu.
arXiv, 0511245 / Harvested from arXiv
Text on arXiv
The reduced Hamiltonian system on T*SU(3)/SU(2)) is derived from a Riemannian geodesic motion on the SU(3) group manifold parameterised by the generalised 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)=S^5 is not isometric or even geodesically equivalent to the standard Riemannian metric on the five-sphere S^5 embedded into R^6.
Publié le : 2005-11-24
Classification:  High Energy Physics - Theory,  Mathematical Physics 
@article{0511245,
     author = {Gerdt, V. and Horan, R. and Khvedelidze, A. and Lavelle, M. and McMullan, D. and Palii, Yu.},
     title = {On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511245}
}

Gerdt, V.; Horan, R.; Khvedelidze, A.; Lavelle, M.; McMullan, D.; Palii, Yu. On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2). arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511245/