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S. Gindikin and the author defined a G R -K C invariant subset C(S) of G C for each K C -orbit S on every flag manifold G C /P and conjectured that the connected component C(S) 0 of the identity would be equal to the Akhiezer-Gindikin domain D if S is of nonholomorphic type. This conjecture was proved for closed S in the works of J. A. Wolf, R. Zierau, G. Fels, A. Huckleberry and the author. It was also proved for open S by the author. In this paper, we prove the conjecture for all the other orbits when G R is of non-Hermitian type.

Equivalence of domains arising from duality of orbits on flag manifolds II