ABSTRACT

Let H be a connected closed Lie subgroup of a connected compact Lie group G, and equip the G-flag manifold G C ( S ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203752364/5d49d4e1-5d65-40fb-9a81-ac2cbd3810f3/content/eq776.tif"/> with a horizontal f-structure. We seek to describe the circumstances under which the f-structure induces an integrable complex structure on the orbit of H in G C ( S ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203752364/5d49d4e1-5d65-40fb-9a81-ac2cbd3810f3/content/eq777.tif"/> .