Mathematics – Differential Geometry
Scientific paper
2005-02-02
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Article ID 89545, Pages 1-15
Mathematics
Differential Geometry
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.
Balashchenko Vitaly V.
Sakovich Anna
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