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

Mathematics – Differential Geometry

Scientific paper

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15 pages

Scientific paper

10.1155/IJMMS/2006/89545

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
$\Phi$-spaces belong to the classes Kill f, NKf and G_1f of generalized
Hermitian geometry.

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