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

Vitaly V. Balashchenko·Anna Sakovich
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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.

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Vitaly V. Balashchenko, Anna Sakovich. 2005-02-02. Invariant f-structures on the flag manifolds SO(n)/SO(2)xSO(n-3). https://doi.org/10.1155/ijmms/2006/89545

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