Geodesic
The $SU_3$ Space and Its Quotient Spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 93-103 Cet article a éte moissonné depuis la source Math-Net.Ru

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A metric description of symmetric Riemannian spaces is needed for constructing gauge fields with a symmetry. We describe the group $SU_3$ as a Riemannian space for two different parameterizations and develop a Hamiltonian technique for constructing quotient spaces. We construct the quotient spaces of the group $SU_3$, namely, the six-dimensional quotient space $(SU_3/O_2^2)$, the five-dimensional quotient space $(SU_3/O_3)$, and the two four-dimensional quotient spaces $(SU_3/O_2^4)$ and $(SU_3/O_3/O_2)$.
Mots-clés : group $SU_3$, quotient space.
Keywords: parameterization, metric, geometric Hamiltonian 
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     title = {The $SU_3$ {Space} and {Its} {Quotient} {Spaces}},
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D. E. Burlankov. The $SU_3$ Space and Its Quotient Spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 93-103. http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a7/

[1] D. E. Burlankov, TMF, 32 (1977), 326 | MR

[2] D. E. Burlankov, V. N. Dutyshev, ZhETF, 73 (1977), 377

[3] B. A. Dubrovin, S. P. Novikov, A. T. Fomenko, Sovremennaya geometriya, Fizmatgiz, M., 1979 | MR

[4] O. Loos, Simmetricheskie prostranstva, Nauka, M., 1985 | MR