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

Vitaly V. Balashchenko; Anna Sakovich

doi:10.1155/IJMMS/2006/89545

paper

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

arXiv:math/0502056 · doi:10.1155/IJMMS/2006/89545

Abstract

We consider manifolds of oriented flags SO(n)/SO(2)xSO(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 G_1f of generalized Hermitian geometry.

15 pages