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Goertsches, Oliver; Konstantis, Panagiotis; Zoller, Leopold (2020): Symplectic and Kahler structures on biquotients. In: Journal of Symplectic Geometry, Vol. 18, No. 3: pp. 791-813
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Abstract

We construct symplectic structures on roughly half of all equal rank biquotients of the form G//T, where G is a compact simple Lie group and T a torus, and investigate Hamiltonian Lie group actions on them. For the Eschenburg flag, this action has similar properties as Tolman's and Woodward's examples of Hamiltonian non-Kahler actions. In addition to the previously known Kahler structure on the Eschenburg flag, we find another Kahler structure on a biquotient SU(4)//T-3.