Abstract
We prove the existence of at least one G-invariant preferred symplectic connection on any coadjoint orbit of a compact semisimple Lie group G. We look at the case of the orbits of SU(3) and show that in this case the invariant preferred connection is unique.
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Cahen, M., Gutt, S. & Rawnsley, J. Preferred Invariant Symplectic Connections on Compact Coadjoint Orbits. Letters in Mathematical Physics 48, 353–364 (1999). https://doi.org/10.1023/A:1007687401567
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DOI: https://doi.org/10.1023/A:1007687401567