Invariant f-structures on the flag manifolds SO(n)/SO(2)xSO(n-3)
classification
🧮 math.DG
keywords
f-structuresinvariantmanifoldsspacesbelongcanonicalcharacteristicclasses
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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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