International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 89545, 15 pages

Invariant f-structures on the flag manifolds SO(n)/SO(2)×SO(n3)

Vitaly V. Balashchenko and Anna Sakovich

Faculty of Mathematics and Mechanics, Belarusian State University, F. Scorina avenue 4, Minsk 220050, Belarus

Received 17 July 2005; Revised 19 December 2005; Accepted 4 January 2006

Copyright © 2006 Vitaly V. Balashchenko and Anna Sakovich. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider manifolds of oriented flags SO(n)/SO(2)×SO(n3)(n4) 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.