International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 2, Article ID 89545, 15 pages
doi:10.1155/IJMMS/2006/89545

Invariant f-structures on the flag manifolds SO(n)/SO(2)×SO(n−3)

Abstract

We consider manifolds of oriented flags SO(n)/SO(2)×SO(n−3)(n≥4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f-structures on these homogeneous Φ-spaces belong to the classes Kill f, NKf, and G1f of generalized Hermitian geometry.