International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 89545, 15 pages
Invariant -structures on the flag manifolds
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
as - and -symmetric spaces and
indicate characteristic conditions for invariant Riemannian
metrics under which the canonical -structures on these
homogeneous -spaces belong to the classes , , and of
generalized Hermitian geometry.